Finding the Third Proportional to 32,352 and 69,672

Step by Step Solution

1. Step 1: Write the proportion equation
   32,352 : 69,672 = 69,672 : x
2. Step 2: Convert to fraction form
   32,352/69,672 = 69,672/x
3. Step 3: Cross multiply
   32,352x = 69,672 × 69,672
4. Step 4: Simplify right side
   32,352x = 4,854,187,584
5. Step 5: Solve for x
   x = 4,854,187,584/32,352
6. Step 6: Final answer
   x = 150,042.89