Finding the Third Proportional to 3,498.50 and 7,688

Step by Step Solution

1. Step 1: Write the proportion equation
   3,498.50 : 7,688 = 7,688 : x
2. Step 2: Convert to fraction form
   3,498.50/7,688 = 7,688/x
3. Step 3: Cross multiply
   3,498.50x = 7,688 × 7,688
4. Step 4: Simplify right side
   3,498.50x = 59,105,344
5. Step 5: Solve for x
   x = 59,105,344/3,498.50
6. Step 6: Final answer
   x = 16,894.48