Finding the Third Proportional to 16,132 and 23,766

Step by Step Solution

1. Step 1: Write the proportion equation
   16,132 : 23,766 = 23,766 : x
2. Step 2: Convert to fraction form
   16,132/23,766 = 23,766/x
3. Step 3: Cross multiply
   16,132x = 23,766 × 23,766
4. Step 4: Simplify right side
   16,132x = 564,822,756
5. Step 5: Solve for x
   x = 564,822,756/16,132
6. Step 6: Final answer
   x = 35,012.57