Finding the Third Proportional to 10,128 and 15,410

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128 : 15,410 = 15,410 : x
2. Step 2: Convert to fraction form
   10,128/15,410 = 15,410/x
3. Step 3: Cross multiply
   10,128x = 15,410 × 15,410
4. Step 4: Simplify right side
   10,128x = 237,468,100
5. Step 5: Solve for x
   x = 237,468,100/10,128
6. Step 6: Final answer
   x = 23,446.69