Finding the Third Proportional to 25,632 and 59,314

Step by Step Solution

1. Step 1: Write the proportion equation
   25,632 : 59,314 = 59,314 : x
2. Step 2: Convert to fraction form
   25,632/59,314 = 59,314/x
3. Step 3: Cross multiply
   25,632x = 59,314 × 59,314
4. Step 4: Simplify right side
   25,632x = 3,518,150,596
5. Step 5: Solve for x
   x = 3,518,150,596/25,632
6. Step 6: Final answer
   x = 137,256.19