Finding the Third Proportional to 14,766 and 32,412

Step by Step Solution

1. Step 1: Write the proportion equation
   14,766 : 32,412 = 32,412 : x
2. Step 2: Convert to fraction form
   14,766/32,412 = 32,412/x
3. Step 3: Cross multiply
   14,766x = 32,412 × 32,412
4. Step 4: Simplify right side
   14,766x = 1,050,537,744
5. Step 5: Solve for x
   x = 1,050,537,744/14,766
6. Step 6: Final answer
   x = 71,145.72