Finding the Third Proportional to 12,080 and 16,128

Step by Step Solution

1. Step 1: Write the proportion equation
   12,080 : 16,128 = 16,128 : x
2. Step 2: Convert to fraction form
   12,080/16,128 = 16,128/x
3. Step 3: Cross multiply
   12,080x = 16,128 × 16,128
4. Step 4: Simplify right side
   12,080x = 260,112,384
5. Step 5: Solve for x
   x = 260,112,384/12,080
6. Step 6: Final answer
   x = 21,532.48