Finding the Third Proportional to 32,222 and 72,671

Step by Step Solution

1. Step 1: Write the proportion equation
   32,222 : 72,671 = 72,671 : x
2. Step 2: Convert to fraction form
   32,222/72,671 = 72,671/x
3. Step 3: Cross multiply
   32,222x = 72,671 × 72,671
4. Step 4: Simplify right side
   32,222x = 5,281,074,241
5. Step 5: Solve for x
   x = 5,281,074,241/32,222
6. Step 6: Final answer
   x = 163,896.54