Finding the Third Proportional to 40,786.50 and 83,769

Step by Step Solution

1. Step 1: Write the proportion equation
   40,786.50 : 83,769 = 83,769 : x
2. Step 2: Convert to fraction form
   40,786.50/83,769 = 83,769/x
3. Step 3: Cross multiply
   40,786.50x = 83,769 × 83,769
4. Step 4: Simplify right side
   40,786.50x = 7,017,245,361
5. Step 5: Solve for x
   x = 7,017,245,361/40,786.50
6. Step 6: Final answer
   x = 172,048.24