Finding the Third Proportional to 6,690 and 10,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,690 : 10,405.50 = 10,405.50 : x
2. Step 2: Convert to fraction form
   6,690/10,405.50 = 10,405.50/x
3. Step 3: Cross multiply
   6,690x = 10,405.50 × 10,405.50
4. Step 4: Simplify right side
   6,690x = 108,274,430.25
5. Step 5: Solve for x
   x = 108,274,430.25/6,690
6. Step 6: Final answer
   x = 16,184.52