Finding the Third Proportional to 10,592 and 15,128

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592 : 15,128 = 15,128 : x
2. Step 2: Convert to fraction form
   10,592/15,128 = 15,128/x
3. Step 3: Cross multiply
   10,592x = 15,128 × 15,128
4. Step 4: Simplify right side
   10,592x = 228,856,384
5. Step 5: Solve for x
   x = 228,856,384/10,592
6. Step 6: Final answer
   x = 21,606.53