Finding the Third Proportional to 25,746 and 56,412.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,746 : 56,412.75 = 56,412.75 : x
2. Step 2: Convert to fraction form
   25,746/56,412.75 = 56,412.75/x
3. Step 3: Cross multiply
   25,746x = 56,412.75 × 56,412.75
4. Step 4: Simplify right side
   25,746x = 3,182,398,362.56
5. Step 5: Solve for x
   x = 3,182,398,362.56/25,746
6. Step 6: Final answer
   x = 123,607.49