Finding the Third Proportional to 6,688 and 10,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,688 : 10,404.50 = 10,404.50 : x
2. Step 2: Convert to fraction form
   6,688/10,404.50 = 10,404.50/x
3. Step 3: Cross multiply
   6,688x = 10,404.50 × 10,404.50
4. Step 4: Simplify right side
   6,688x = 108,253,620.25
5. Step 5: Solve for x
   x = 108,253,620.25/6,688
6. Step 6: Final answer
   x = 16,186.25