Finding the Third Proportional to 16,560 and 38,688

Step by Step Solution

1. Step 1: Write the proportion equation
   16,560 : 38,688 = 38,688 : x
2. Step 2: Convert to fraction form
   16,560/38,688 = 38,688/x
3. Step 3: Cross multiply
   16,560x = 38,688 × 38,688
4. Step 4: Simplify right side
   16,560x = 1,496,761,344
5. Step 5: Solve for x
   x = 1,496,761,344/16,560
6. Step 6: Final answer
   x = 90,384.14