Finding the Third Proportional to 6,000 and 10,688

Step by Step Solution

1. Step 1: Write the proportion equation
   6,000 : 10,688 = 10,688 : x
2. Step 2: Convert to fraction form
   6,000/10,688 = 10,688/x
3. Step 3: Cross multiply
   6,000x = 10,688 × 10,688
4. Step 4: Simplify right side
   6,000x = 114,233,344
5. Step 5: Solve for x
   x = 114,233,344/6,000
6. Step 6: Final answer
   x = 19,038.89