Finding the Third Proportional to 6,128 and 13,298

Step by Step Solution

1. Step 1: Write the proportion equation
   6,128 : 13,298 = 13,298 : x
2. Step 2: Convert to fraction form
   6,128/13,298 = 13,298/x
3. Step 3: Cross multiply
   6,128x = 13,298 × 13,298
4. Step 4: Simplify right side
   6,128x = 176,836,804
5. Step 5: Solve for x
   x = 176,836,804/6,128
6. Step 6: Final answer
   x = 28,857.18