Finding the Third Proportional to 25,757 and 56,434.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,757 : 56,434.50 = 56,434.50 : x
2. Step 2: Convert to fraction form
   25,757/56,434.50 = 56,434.50/x
3. Step 3: Cross multiply
   25,757x = 56,434.50 × 56,434.50
4. Step 4: Simplify right side
   25,757x = 3,184,852,790.25
5. Step 5: Solve for x
   x = 3,184,852,790.25/25,757
6. Step 6: Final answer
   x = 123,649.99