Finding the Third Proportional to 16,545 and 38,766

Step by Step Solution

1. Step 1: Write the proportion equation
   16,545 : 38,766 = 38,766 : x
2. Step 2: Convert to fraction form
   16,545/38,766 = 38,766/x
3. Step 3: Cross multiply
   16,545x = 38,766 × 38,766
4. Step 4: Simplify right side
   16,545x = 1,502,802,756
5. Step 5: Solve for x
   x = 1,502,802,756/16,545
6. Step 6: Final answer
   x = 90,831.23