Finding the Third Proportional to 25,993 and 56,649

Step by Step Solution

1. Step 1: Write the proportion equation
   25,993 : 56,649 = 56,649 : x
2. Step 2: Convert to fraction form
   25,993/56,649 = 56,649/x
3. Step 3: Cross multiply
   25,993x = 56,649 × 56,649
4. Step 4: Simplify right side
   25,993x = 3,209,109,201
5. Step 5: Solve for x
   x = 3,209,109,201/25,993
6. Step 6: Final answer
   x = 123,460.52