Finding the Third Proportional to 25,408 and 59,380

Step by Step Solution

1. Step 1: Write the proportion equation
   25,408 : 59,380 = 59,380 : x
2. Step 2: Convert to fraction form
   25,408/59,380 = 59,380/x
3. Step 3: Cross multiply
   25,408x = 59,380 × 59,380
4. Step 4: Simplify right side
   25,408x = 3,525,984,400
5. Step 5: Solve for x
   x = 3,525,984,400/25,408
6. Step 6: Final answer
   x = 138,774.57