Finding the Third Proportional to 25,540 and 59,351

Step by Step Solution

1. Step 1: Write the proportion equation
   25,540 : 59,351 = 59,351 : x
2. Step 2: Convert to fraction form
   25,540/59,351 = 59,351/x
3. Step 3: Cross multiply
   25,540x = 59,351 × 59,351
4. Step 4: Simplify right side
   25,540x = 3,522,541,201
5. Step 5: Solve for x
   x = 3,522,541,201/25,540
6. Step 6: Final answer
   x = 137,922.52