Finding the Third Proportional to 10,113.38 and 15,702.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,113.38 : 15,702.56 = 15,702.56 : x
2. Step 2: Convert to fraction form
   10,113.38/15,702.56 = 15,702.56/x
3. Step 3: Cross multiply
   10,113.38x = 15,702.56 × 15,702.56
4. Step 4: Simplify right side
   10,113.38x = 246,570,469.07
5. Step 5: Solve for x
   x = 246,570,469.07/10,113.38
6. Step 6: Final answer
   x = 24,380.63