Finding the Third Proportional to 32,272 and 69,642

Step by Step Solution

1. Step 1: Write the proportion equation
   32,272 : 69,642 = 69,642 : x
2. Step 2: Convert to fraction form
   32,272/69,642 = 69,642/x
3. Step 3: Cross multiply
   32,272x = 69,642 × 69,642
4. Step 4: Simplify right side
   32,272x = 4,850,008,164
5. Step 5: Solve for x
   x = 4,850,008,164/32,272
6. Step 6: Final answer
   x = 150,285.33