Finding the Third Proportional to 13,492,816,754,302 and 20,555,373,005,172

Step by Step Solution

1. Step 1: Write the proportion equation
   13,492,816,754,302 : 20,555,373,005,172 = 20,555,373,005,172 : x
2. Step 2: Convert to fraction form
   13,492,816,754,302/20,555,373,005,172 = 20,555,373,005,172/x
3. Step 3: Cross multiply
   13,492,816,754,302x = 20,555,373,005,172 × 20,555,373,005,172
4. Step 4: Simplify right side
   13,492,816,754,302x = 422,523,359,381,753,783,142,842,368
5. Step 5: Solve for x
   x = 422,523,359,381,753,783,142,842,368/13,492,816,754,302
6. Step 6: Final answer
   x = 31,314,688,924,907.99