Finding the Third Proportional to 40,801.50 and 82,746

Step by Step Solution

1. Step 1: Write the proportion equation
   40,801.50 : 82,746 = 82,746 : x
2. Step 2: Convert to fraction form
   40,801.50/82,746 = 82,746/x
3. Step 3: Cross multiply
   40,801.50x = 82,746 × 82,746
4. Step 4: Simplify right side
   40,801.50x = 6,846,900,516
5. Step 5: Solve for x
   x = 6,846,900,516/40,801.50
6. Step 6: Final answer
   x = 167,810.02