Finding the Third Proportional to 32,205 and 67,932

Step by Step Solution

1. Step 1: Write the proportion equation
   32,205 : 67,932 = 67,932 : x
2. Step 2: Convert to fraction form
   32,205/67,932 = 67,932/x
3. Step 3: Cross multiply
   32,205x = 67,932 × 67,932
4. Step 4: Simplify right side
   32,205x = 4,614,756,624
5. Step 5: Solve for x
   x = 4,614,756,624/32,205
6. Step 6: Final answer
   x = 143,293.17