Finding the Third Proportional to 10,188 and 16,128

Step by Step Solution

1. Step 1: Write the proportion equation
   10,188 : 16,128 = 16,128 : x
2. Step 2: Convert to fraction form
   10,188/16,128 = 16,128/x
3. Step 3: Cross multiply
   10,188x = 16,128 × 16,128
4. Step 4: Simplify right side
   10,188x = 260,112,384
5. Step 5: Solve for x
   x = 260,112,384/10,188
6. Step 6: Final answer
   x = 25,531.25