Finding the Third Proportional to 781.31 and 2,003.91

Step by Step Solution

1. Step 1: Write the proportion equation
   781.31 : 2,003.91 = 2,003.91 : x
2. Step 2: Convert to fraction form
   781.31/2,003.91 = 2,003.91/x
3. Step 3: Cross multiply
   781.31x = 2,003.91 × 2,003.91
4. Step 4: Simplify right side
   781.31x = 4,015,640.26
5. Step 5: Solve for x
   x = 4,015,640.26/781.31
6. Step 6: Final answer
   x = 5,139.61