Finding the Third Proportional to 2,693 and 5,918.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,693 : 5,918.50 = 5,918.50 : x
2. Step 2: Convert to fraction form
   2,693/5,918.50 = 5,918.50/x
3. Step 3: Cross multiply
   2,693x = 5,918.50 × 5,918.50
4. Step 4: Simplify right side
   2,693x = 35,028,642.25
5. Step 5: Solve for x
   x = 35,028,642.25/2,693
6. Step 6: Final answer
   x = 13,007.29