Finding the Third Proportional to 2,781.38 and 5,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,781.38 : 5,639.50 = 5,639.50 : x
2. Step 2: Convert to fraction form
   2,781.38/5,639.50 = 5,639.50/x
3. Step 3: Cross multiply
   2,781.38x = 5,639.50 × 5,639.50
4. Step 4: Simplify right side
   2,781.38x = 31,803,960.25
5. Step 5: Solve for x
   x = 31,803,960.25/2,781.38
6. Step 6: Final answer
   x = 11,434.62