Finding the Third Proportional to 32,511 and 69,872

Step by Step Solution

1. Step 1: Write the proportion equation
   32,511 : 69,872 = 69,872 : x
2. Step 2: Convert to fraction form
   32,511/69,872 = 69,872/x
3. Step 3: Cross multiply
   32,511x = 69,872 × 69,872
4. Step 4: Simplify right side
   32,511x = 4,882,096,384
5. Step 5: Solve for x
   x = 4,882,096,384/32,511
6. Step 6: Final answer
   x = 150,167.52