Finding the Third Proportional to 1,549.13 and 2,077.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.13 : 2,077.31 = 2,077.31 : x
2. Step 2: Convert to fraction form
   1,549.13/2,077.31 = 2,077.31/x
3. Step 3: Cross multiply
   1,549.13x = 2,077.31 × 2,077.31
4. Step 4: Simplify right side
   1,549.13x = 4,315,227.22
5. Step 5: Solve for x
   x = 4,315,227.22/1,549.13
6. Step 6: Final answer
   x = 2,785.59