Finding the Third Proportional to 32,822 and 72,026

Step by Step Solution

1. Step 1: Write the proportion equation
   32,822 : 72,026 = 72,026 : x
2. Step 2: Convert to fraction form
   32,822/72,026 = 72,026/x
3. Step 3: Cross multiply
   32,822x = 72,026 × 72,026
4. Step 4: Simplify right side
   32,822x = 5,187,744,676
5. Step 5: Solve for x
   x = 5,187,744,676/32,822
6. Step 6: Final answer
   x = 158,056.93