Finding the Third Proportional to 32,822 and 71,186

Step by Step Solution

1. Step 1: Write the proportion equation
   32,822 : 71,186 = 71,186 : x
2. Step 2: Convert to fraction form
   32,822/71,186 = 71,186/x
3. Step 3: Cross multiply
   32,822x = 71,186 × 71,186
4. Step 4: Simplify right side
   32,822x = 5,067,446,596
5. Step 5: Solve for x
   x = 5,067,446,596/32,822
6. Step 6: Final answer
   x = 154,391.77