Finding the Third Proportional to 1,027.69 and 2,426.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.69 : 2,426.06 = 2,426.06 : x
2. Step 2: Convert to fraction form
   1,027.69/2,426.06 = 2,426.06/x
3. Step 3: Cross multiply
   1,027.69x = 2,426.06 × 2,426.06
4. Step 4: Simplify right side
   1,027.69x = 5,885,779.25
5. Step 5: Solve for x
   x = 5,885,779.25/1,027.69
6. Step 6: Final answer
   x = 5,727.21