Finding the Third Proportional to 16,208 and 38,160

Step by Step Solution

1. Step 1: Write the proportion equation
   16,208 : 38,160 = 38,160 : x
2. Step 2: Convert to fraction form
   16,208/38,160 = 38,160/x
3. Step 3: Cross multiply
   16,208x = 38,160 × 38,160
4. Step 4: Simplify right side
   16,208x = 1,456,185,600
5. Step 5: Solve for x
   x = 1,456,185,600/16,208
6. Step 6: Final answer
   x = 89,843.63