Finding the Third Proportional to 2,756.81 and 6,535.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,756.81 : 6,535.69 = 6,535.69 : x
2. Step 2: Convert to fraction form
   2,756.81/6,535.69 = 6,535.69/x
3. Step 3: Cross multiply
   2,756.81x = 6,535.69 × 6,535.69
4. Step 4: Simplify right side
   2,756.81x = 42,715,211.10
5. Step 5: Solve for x
   x = 42,715,211.10/2,756.81
6. Step 6: Final answer
   x = 15,494.42