Finding the Third Proportional to 1,314.91 and 2,828.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.91 : 2,828.43 = 2,828.43 : x
2. Step 2: Convert to fraction form
   1,314.91/2,828.43 = 2,828.43/x
3. Step 3: Cross multiply
   1,314.91x = 2,828.43 × 2,828.43
4. Step 4: Simplify right side
   1,314.91x = 8,000,042.12
5. Step 5: Solve for x
   x = 8,000,042.12/1,314.91
6. Step 6: Final answer
   x = 6,084.12