Finding the Third Proportional to 1,003.69 and 2,077.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.69 : 2,077.13 = 2,077.13 : x
2. Step 2: Convert to fraction form
   1,003.69/2,077.13 = 2,077.13/x
3. Step 3: Cross multiply
   1,003.69x = 2,077.13 × 2,077.13
4. Step 4: Simplify right side
   1,003.69x = 4,314,448.27
5. Step 5: Solve for x
   x = 4,314,448.27/1,003.69
6. Step 6: Final answer
   x = 4,298.60