Finding the Third Proportional to 25,664 and 59,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,664 : 59,624 = 59,624 : x
2. Step 2: Convert to fraction form
   25,664/59,624 = 59,624/x
3. Step 3: Cross multiply
   25,664x = 59,624 × 59,624
4. Step 4: Simplify right side
   25,664x = 3,555,021,376
5. Step 5: Solve for x
   x = 3,555,021,376/25,664
6. Step 6: Final answer
   x = 138,521.72