Finding the Third Proportional to 22,132 and 32,766

Step by Step Solution

1. Step 1: Write the proportion equation
   22,132 : 32,766 = 32,766 : x
2. Step 2: Convert to fraction form
   22,132/32,766 = 32,766/x
3. Step 3: Cross multiply
   22,132x = 32,766 × 32,766
4. Step 4: Simplify right side
   22,132x = 1,073,610,756
5. Step 5: Solve for x
   x = 1,073,610,756/22,132
6. Step 6: Final answer
   x = 48,509.43