Finding the Third Proportional to 13,414.50 and 25,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,414.50 : 25,612.50 = 25,612.50 : x
2. Step 2: Convert to fraction form
   13,414.50/25,612.50 = 25,612.50/x
3. Step 3: Cross multiply
   13,414.50x = 25,612.50 × 25,612.50
4. Step 4: Simplify right side
   13,414.50x = 656,000,156.25
5. Step 5: Solve for x
   x = 656,000,156.25/13,414.50
6. Step 6: Final answer
   x = 48,902.32