Finding the Third Proportional to 6,128 and 9,300

Step by Step Solution

1. Step 1: Write the proportion equation
   6,128 : 9,300 = 9,300 : x
2. Step 2: Convert to fraction form
   6,128/9,300 = 9,300/x
3. Step 3: Cross multiply
   6,128x = 9,300 × 9,300
4. Step 4: Simplify right side
   6,128x = 86,490,000
5. Step 5: Solve for x
   x = 86,490,000/6,128
6. Step 6: Final answer
   x = 14,113.90