Finding the Third Proportional to 1,246.69 and 2,655.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,246.69 : 2,655.38 = 2,655.38 : x
2. Step 2: Convert to fraction form
   1,246.69/2,655.38 = 2,655.38/x
3. Step 3: Cross multiply
   1,246.69x = 2,655.38 × 2,655.38
4. Step 4: Simplify right side
   1,246.69x = 7,051,016.39
5. Step 5: Solve for x
   x = 7,051,016.39/1,246.69
6. Step 6: Final answer
   x = 5,655.80