Finding the Third Proportional to 25,724 and 56,371

Step by Step Solution

1. Step 1: Write the proportion equation
   25,724 : 56,371 = 56,371 : x
2. Step 2: Convert to fraction form
   25,724/56,371 = 56,371/x
3. Step 3: Cross multiply
   25,724x = 56,371 × 56,371
4. Step 4: Simplify right side
   25,724x = 3,177,689,641
5. Step 5: Solve for x
   x = 3,177,689,641/25,724
6. Step 6: Final answer
   x = 123,530.15