Finding the Third Proportional to 5,052.38 and 7,715.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,052.38 : 7,715.25 = 7,715.25 : x
2. Step 2: Convert to fraction form
   5,052.38/7,715.25 = 7,715.25/x
3. Step 3: Cross multiply
   5,052.38x = 7,715.25 × 7,715.25
4. Step 4: Simplify right side
   5,052.38x = 59,525,082.56
5. Step 5: Solve for x
   x = 59,525,082.56/5,052.38
6. Step 6: Final answer
   x = 11,781.60