Finding the Third Proportional to 39,733.50 and 85,217.25

Step by Step Solution

1. Step 1: Write the proportion equation
   39,733.50 : 85,217.25 = 85,217.25 : x
2. Step 2: Convert to fraction form
   39,733.50/85,217.25 = 85,217.25/x
3. Step 3: Cross multiply
   39,733.50x = 85,217.25 × 85,217.25
4. Step 4: Simplify right side
   39,733.50x = 7,261,979,697.56
5. Step 5: Solve for x
   x = 7,261,979,697.56/39,733.50
6. Step 6: Final answer
   x = 182,767.18