Finding the Third Proportional to 25,831 and 56,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,831 : 56,577.50 = 56,577.50 : x
2. Step 2: Convert to fraction form
   25,831/56,577.50 = 56,577.50/x
3. Step 3: Cross multiply
   25,831x = 56,577.50 × 56,577.50
4. Step 4: Simplify right side
   25,831x = 3,201,013,506.25
5. Step 5: Solve for x
   x = 3,201,013,506.25/25,831
6. Step 6: Final answer
   x = 123,921.39