Finding the Third Proportional to 25,997 and 56,746

Step by Step Solution

1. Step 1: Write the proportion equation
   25,997 : 56,746 = 56,746 : x
2. Step 2: Convert to fraction form
   25,997/56,746 = 56,746/x
3. Step 3: Cross multiply
   25,997x = 56,746 × 56,746
4. Step 4: Simplify right side
   25,997x = 3,220,108,516
5. Step 5: Solve for x
   x = 3,220,108,516/25,997
6. Step 6: Final answer
   x = 123,864.62