Finding the Third Proportional to 6,610 and 10,294

Step by Step Solution

1. Step 1: Write the proportion equation
   6,610 : 10,294 = 10,294 : x
2. Step 2: Convert to fraction form
   6,610/10,294 = 10,294/x
3. Step 3: Cross multiply
   6,610x = 10,294 × 10,294
4. Step 4: Simplify right side
   6,610x = 105,966,436
5. Step 5: Solve for x
   x = 105,966,436/6,610
6. Step 6: Final answer
   x = 16,031.23