Finding the Third Proportional to 10,702.13 and 25,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.13 : 25,159.50 = 25,159.50 : x
2. Step 2: Convert to fraction form
   10,702.13/25,159.50 = 25,159.50/x
3. Step 3: Cross multiply
   10,702.13x = 25,159.50 × 25,159.50
4. Step 4: Simplify right side
   10,702.13x = 633,000,440.25
5. Step 5: Solve for x
   x = 633,000,440.25/10,702.13
6. Step 6: Final answer
   x = 59,147.17