Finding the Third Proportional to 1,939.78 and 2,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,939.78 : 2,677.50 = 2,677.50 : x
2. Step 2: Convert to fraction form
   1,939.78/2,677.50 = 2,677.50/x
3. Step 3: Cross multiply
   1,939.78x = 2,677.50 × 2,677.50
4. Step 4: Simplify right side
   1,939.78x = 7,169,006.25
5. Step 5: Solve for x
   x = 7,169,006.25/1,939.78
6. Step 6: Final answer
   x = 3,695.78