Finding the Third Proportional to 2,077.31 and 2,776.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.31 : 2,776.78 = 2,776.78 : x
2. Step 2: Convert to fraction form
   2,077.31/2,776.78 = 2,776.78/x
3. Step 3: Cross multiply
   2,077.31x = 2,776.78 × 2,776.78
4. Step 4: Simplify right side
   2,077.31x = 7,710,514.11
5. Step 5: Solve for x
   x = 7,710,514.11/2,077.31
6. Step 6: Final answer
   x = 3,711.77