Finding the Third Proportional to 25,882 and 56,624

Step by Step Solution

1. Step 1: Write the proportion equation
   25,882 : 56,624 = 56,624 : x
2. Step 2: Convert to fraction form
   25,882/56,624 = 56,624/x
3. Step 3: Cross multiply
   25,882x = 56,624 × 56,624
4. Step 4: Simplify right side
   25,882x = 3,206,277,376
5. Step 5: Solve for x
   x = 3,206,277,376/25,882
6. Step 6: Final answer
   x = 123,880.59