Finding the Third Proportional to 1,382.91 and 2,077.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.91 : 2,077.03 = 2,077.03 : x
2. Step 2: Convert to fraction form
   1,382.91/2,077.03 = 2,077.03/x
3. Step 3: Cross multiply
   1,382.91x = 2,077.03 × 2,077.03
4. Step 4: Simplify right side
   1,382.91x = 4,314,058.81
5. Step 5: Solve for x
   x = 4,314,058.81/1,382.91
6. Step 6: Final answer
   x = 3,119.56