Finding the Third Proportional to 1,377 and 2,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377 : 2,038.50 = 2,038.50 : x
2. Step 2: Convert to fraction form
   1,377/2,038.50 = 2,038.50/x
3. Step 3: Cross multiply
   1,377x = 2,038.50 × 2,038.50
4. Step 4: Simplify right side
   1,377x = 4,155,482.25
5. Step 5: Solve for x
   x = 4,155,482.25/1,377
6. Step 6: Final answer
   x = 3,017.78