Finding the Third Proportional to 38,149.50 and 82,866.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,149.50 : 82,866.75 = 82,866.75 : x
2. Step 2: Convert to fraction form
   38,149.50/82,866.75 = 82,866.75/x
3. Step 3: Cross multiply
   38,149.50x = 82,866.75 × 82,866.75
4. Step 4: Simplify right side
   38,149.50x = 6,866,898,255.56
5. Step 5: Solve for x
   x = 6,866,898,255.56/38,149.50
6. Step 6: Final answer
   x = 179,999.69