Finding the Third Proportional to 1,314.19 and 2,827.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.19 : 2,827.69 = 2,827.69 : x
2. Step 2: Convert to fraction form
   1,314.19/2,827.69 = 2,827.69/x
3. Step 3: Cross multiply
   1,314.19x = 2,827.69 × 2,827.69
4. Step 4: Simplify right side
   1,314.19x = 7,995,816.60
5. Step 5: Solve for x
   x = 7,995,816.60/1,314.19
6. Step 6: Final answer
   x = 6,084.23