Finding the Third Proportional to 32,766 and 71,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,766 : 71,080.50 = 71,080.50 : x
2. Step 2: Convert to fraction form
   32,766/71,080.50 = 71,080.50/x
3. Step 3: Cross multiply
   32,766x = 71,080.50 × 71,080.50
4. Step 4: Simplify right side
   32,766x = 5,052,437,480.25
5. Step 5: Solve for x
   x = 5,052,437,480.25/32,766
6. Step 6: Final answer
   x = 154,197.57