Finding the Third Proportional to 25,818 and 56,496

Step by Step Solution

1. Step 1: Write the proportion equation
   25,818 : 56,496 = 56,496 : x
2. Step 2: Convert to fraction form
   25,818/56,496 = 56,496/x
3. Step 3: Cross multiply
   25,818x = 56,496 × 56,496
4. Step 4: Simplify right side
   25,818x = 3,191,798,016
5. Step 5: Solve for x
   x = 3,191,798,016/25,818
6. Step 6: Final answer
   x = 123,626.85