Finding the Third Proportional to 35,506 and 55,206

Step by Step Solution

1. Step 1: Write the proportion equation
   35,506 : 55,206 = 55,206 : x
2. Step 2: Convert to fraction form
   35,506/55,206 = 55,206/x
3. Step 3: Cross multiply
   35,506x = 55,206 × 55,206
4. Step 4: Simplify right side
   35,506x = 3,047,702,436
5. Step 5: Solve for x
   x = 3,047,702,436/35,506
6. Step 6: Final answer
   x = 85,836.27