Finding the Third Proportional to 2,842.31 and 6,151.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,842.31 : 6,151.69 = 6,151.69 : x
2. Step 2: Convert to fraction form
   2,842.31/6,151.69 = 6,151.69/x
3. Step 3: Cross multiply
   2,842.31x = 6,151.69 × 6,151.69
4. Step 4: Simplify right side
   2,842.31x = 37,843,259.10
5. Step 5: Solve for x
   x = 37,843,259.10/2,842.31
6. Step 6: Final answer
   x = 13,314.25