Finding the Third Proportional to 25,790 and 56,520

Step by Step Solution

1. Step 1: Write the proportion equation
   25,790 : 56,520 = 56,520 : x
2. Step 2: Convert to fraction form
   25,790/56,520 = 56,520/x
3. Step 3: Cross multiply
   25,790x = 56,520 × 56,520
4. Step 4: Simplify right side
   25,790x = 3,194,510,400
5. Step 5: Solve for x
   x = 3,194,510,400/25,790
6. Step 6: Final answer
   x = 123,866.24