Finding the Third Proportional to 35,782.50 and 54,133.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,782.50 : 54,133.50 = 54,133.50 : x
2. Step 2: Convert to fraction form
   35,782.50/54,133.50 = 54,133.50/x
3. Step 3: Cross multiply
   35,782.50x = 54,133.50 × 54,133.50
4. Step 4: Simplify right side
   35,782.50x = 2,930,435,822.25
5. Step 5: Solve for x
   x = 2,930,435,822.25/35,782.50
6. Step 6: Final answer
   x = 81,895.78