Finding the Third Proportional to 25,338 and 58,651

Step by Step Solution

1. Step 1: Write the proportion equation
   25,338 : 58,651 = 58,651 : x
2. Step 2: Convert to fraction form
   25,338/58,651 = 58,651/x
3. Step 3: Cross multiply
   25,338x = 58,651 × 58,651
4. Step 4: Simplify right side
   25,338x = 3,439,939,801
5. Step 5: Solve for x
   x = 3,439,939,801/25,338
6. Step 6: Final answer
   x = 135,762.09