Finding the Third Proportional to 10,102.50 and 20,713.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102.50 : 20,713.50 = 20,713.50 : x
2. Step 2: Convert to fraction form
   10,102.50/20,713.50 = 20,713.50/x
3. Step 3: Cross multiply
   10,102.50x = 20,713.50 × 20,713.50
4. Step 4: Simplify right side
   10,102.50x = 429,049,082.25
5. Step 5: Solve for x
   x = 429,049,082.25/10,102.50
6. Step 6: Final answer
   x = 42,469.59