Finding the Third Proportional to 2,699.50 and 5,813

Step by Step Solution

1. Step 1: Write the proportion equation
   2,699.50 : 5,813 = 5,813 : x
2. Step 2: Convert to fraction form
   2,699.50/5,813 = 5,813/x
3. Step 3: Cross multiply
   2,699.50x = 5,813 × 5,813
4. Step 4: Simplify right side
   2,699.50x = 33,790,969
5. Step 5: Solve for x
   x = 33,790,969/2,699.50
6. Step 6: Final answer
   x = 12,517.49