Finding the Third Proportional to 1,781 and 2,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,781 : 2,738.50 = 2,738.50 : x
2. Step 2: Convert to fraction form
   1,781/2,738.50 = 2,738.50/x
3. Step 3: Cross multiply
   1,781x = 2,738.50 × 2,738.50
4. Step 4: Simplify right side
   1,781x = 7,499,382.25
5. Step 5: Solve for x
   x = 7,499,382.25/1,781
6. Step 6: Final answer
   x = 4,210.77