Finding the Third Proportional to 25,753.50 and 41,123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,753.50 : 41,123.25 = 41,123.25 : x
2. Step 2: Convert to fraction form
   25,753.50/41,123.25 = 41,123.25/x
3. Step 3: Cross multiply
   25,753.50x = 41,123.25 × 41,123.25
4. Step 4: Simplify right side
   25,753.50x = 1,691,121,690.56
5. Step 5: Solve for x
   x = 1,691,121,690.56/25,753.50
6. Step 6: Final answer
   x = 65,665.70