Finding the Third Proportional to 1,308.66 and 2,762.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.66 : 2,762.86 = 2,762.86 : x
2. Step 2: Convert to fraction form
   1,308.66/2,762.86 = 2,762.86/x
3. Step 3: Cross multiply
   1,308.66x = 2,762.86 × 2,762.86
4. Step 4: Simplify right side
   1,308.66x = 7,633,391.93
5. Step 5: Solve for x
   x = 7,633,391.93/1,308.66
6. Step 6: Final answer
   x = 5,833.00