Finding the Third Proportional to 1,291.50 and 2,827.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,291.50 : 2,827.13 = 2,827.13 : x
2. Step 2: Convert to fraction form
   1,291.50/2,827.13 = 2,827.13/x
3. Step 3: Cross multiply
   1,291.50x = 2,827.13 × 2,827.13
4. Step 4: Simplify right side
   1,291.50x = 7,992,635.77
5. Step 5: Solve for x
   x = 7,992,635.77/1,291.50
6. Step 6: Final answer
   x = 6,188.65