Finding the Third Proportional to 39,703.50 and 85,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,703.50 : 85,162.50 = 85,162.50 : x
2. Step 2: Convert to fraction form
   39,703.50/85,162.50 = 85,162.50/x
3. Step 3: Cross multiply
   39,703.50x = 85,162.50 × 85,162.50
4. Step 4: Simplify right side
   39,703.50x = 7,252,651,406.25
5. Step 5: Solve for x
   x = 7,252,651,406.25/39,703.50
6. Step 6: Final answer
   x = 182,670.33