Finding the Third Proportional to 25,776 and 56,533

Step by Step Solution

1. Step 1: Write the proportion equation
   25,776 : 56,533 = 56,533 : x
2. Step 2: Convert to fraction form
   25,776/56,533 = 56,533/x
3. Step 3: Cross multiply
   25,776x = 56,533 × 56,533
4. Step 4: Simplify right side
   25,776x = 3,195,980,089
5. Step 5: Solve for x
   x = 3,195,980,089/25,776
6. Step 6: Final answer
   x = 123,990.54