Finding the Third Proportional to 25,600 and 56,120.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,600 : 56,120.50 = 56,120.50 : x
2. Step 2: Convert to fraction form
   25,600/56,120.50 = 56,120.50/x
3. Step 3: Cross multiply
   25,600x = 56,120.50 × 56,120.50
4. Step 4: Simplify right side
   25,600x = 3,149,510,520.25
5. Step 5: Solve for x
   x = 3,149,510,520.25/25,600
6. Step 6: Final answer
   x = 123,027.75