Finding the Third Proportional to 40,810 and 83,814

Step by Step Solution

1. Step 1: Write the proportion equation
   40,810 : 83,814 = 83,814 : x
2. Step 2: Convert to fraction form
   40,810/83,814 = 83,814/x
3. Step 3: Cross multiply
   40,810x = 83,814 × 83,814
4. Step 4: Simplify right side
   40,810x = 7,024,786,596
5. Step 5: Solve for x
   x = 7,024,786,596/40,810
6. Step 6: Final answer
   x = 172,133.95