Finding the Third Proportional to 5,260.50 and 7,813.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,260.50 : 7,813.69 = 7,813.69 : x
2. Step 2: Convert to fraction form
   5,260.50/7,813.69 = 7,813.69/x
3. Step 3: Cross multiply
   5,260.50x = 7,813.69 × 7,813.69
4. Step 4: Simplify right side
   5,260.50x = 61,053,712.35
5. Step 5: Solve for x
   x = 61,053,712.35/5,260.50
6. Step 6: Final answer
   x = 11,606.07