Finding the Third Proportional to 3,412.13 and 6,535.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,412.13 : 6,535.69 = 6,535.69 : x
2. Step 2: Convert to fraction form
   3,412.13/6,535.69 = 6,535.69/x
3. Step 3: Cross multiply
   3,412.13x = 6,535.69 × 6,535.69
4. Step 4: Simplify right side
   3,412.13x = 42,715,211.10
5. Step 5: Solve for x
   x = 42,715,211.10/3,412.13
6. Step 6: Final answer
   x = 12,518.65