Finding the Third Proportional to 25,916 and 41,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,916 : 41,257.50 = 41,257.50 : x
2. Step 2: Convert to fraction form
   25,916/41,257.50 = 41,257.50/x
3. Step 3: Cross multiply
   25,916x = 41,257.50 × 41,257.50
4. Step 4: Simplify right side
   25,916x = 1,702,181,306.25
5. Step 5: Solve for x
   x = 1,702,181,306.25/25,916
6. Step 6: Final answer
   x = 65,680.71