Finding the Third Proportional to 40,150.50 and 82,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,150.50 : 82,072.50 = 82,072.50 : x
2. Step 2: Convert to fraction form
   40,150.50/82,072.50 = 82,072.50/x
3. Step 3: Cross multiply
   40,150.50x = 82,072.50 × 82,072.50
4. Step 4: Simplify right side
   40,150.50x = 6,735,895,256.25
5. Step 5: Solve for x
   x = 6,735,895,256.25/40,150.50
6. Step 6: Final answer
   x = 167,766.16