Finding the Third Proportional to 55,772.50 and 83,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,772.50 : 83,782.50 = 83,782.50 : x
2. Step 2: Convert to fraction form
   55,772.50/83,782.50 = 83,782.50/x
3. Step 3: Cross multiply
   55,772.50x = 83,782.50 × 83,782.50
4. Step 4: Simplify right side
   55,772.50x = 7,019,507,306.25
5. Step 5: Solve for x
   x = 7,019,507,306.25/55,772.50
6. Step 6: Final answer
   x = 125,859.65