Finding the Third Proportional to 5,002.31 and 7,517.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,002.31 : 7,517.25 = 7,517.25 : x
2. Step 2: Convert to fraction form
   5,002.31/7,517.25 = 7,517.25/x
3. Step 3: Cross multiply
   5,002.31x = 7,517.25 × 7,517.25
4. Step 4: Simplify right side
   5,002.31x = 56,509,047.56
5. Step 5: Solve for x
   x = 56,509,047.56/5,002.31
6. Step 6: Final answer
   x = 11,296.58