Finding the Third Proportional to 6,346.13 and 9,019.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,346.13 : 9,019.69 = 9,019.69 : x
2. Step 2: Convert to fraction form
   6,346.13/9,019.69 = 9,019.69/x
3. Step 3: Cross multiply
   6,346.13x = 9,019.69 × 9,019.69
4. Step 4: Simplify right side
   6,346.13x = 81,354,762.60
5. Step 5: Solve for x
   x = 81,354,762.60/6,346.13
6. Step 6: Final answer
   x = 12,819.60