Finding the Third Proportional to 25,508 and 60,314

Step by Step Solution

1. Step 1: Write the proportion equation
   25,508 : 60,314 = 60,314 : x
2. Step 2: Convert to fraction form
   25,508/60,314 = 60,314/x
3. Step 3: Cross multiply
   25,508x = 60,314 × 60,314
4. Step 4: Simplify right side
   25,508x = 3,637,778,596
5. Step 5: Solve for x
   x = 3,637,778,596/25,508
6. Step 6: Final answer
   x = 142,613.24