Finding the Third Proportional to 39,166.75 and 80,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,166.75 : 80,407.50 = 80,407.50 : x
2. Step 2: Convert to fraction form
   39,166.75/80,407.50 = 80,407.50/x
3. Step 3: Cross multiply
   39,166.75x = 80,407.50 × 80,407.50
4. Step 4: Simplify right side
   39,166.75x = 6,465,366,056.25
5. Step 5: Solve for x
   x = 6,465,366,056.25/39,166.75
6. Step 6: Final answer
   x = 165,072.82