Finding the Third Proportional to 39,166.50 and 82,797.75

Step by Step Solution

1. Step 1: Write the proportion equation
   39,166.50 : 82,797.75 = 82,797.75 : x
2. Step 2: Convert to fraction form
   39,166.50/82,797.75 = 82,797.75/x
3. Step 3: Cross multiply
   39,166.50x = 82,797.75 × 82,797.75
4. Step 4: Simplify right side
   39,166.50x = 6,855,467,405.06
5. Step 5: Solve for x
   x = 6,855,467,405.06/39,166.50
6. Step 6: Final answer
   x = 175,033.96