Finding the Third Proportional to 25,882 and 56,664

Step by Step Solution

1. Step 1: Write the proportion equation
   25,882 : 56,664 = 56,664 : x
2. Step 2: Convert to fraction form
   25,882/56,664 = 56,664/x
3. Step 3: Cross multiply
   25,882x = 56,664 × 56,664
4. Step 4: Simplify right side
   25,882x = 3,210,808,896
5. Step 5: Solve for x
   x = 3,210,808,896/25,882
6. Step 6: Final answer
   x = 124,055.67