Finding the Third Proportional to 2,077.31 and 3,077.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.31 : 3,077.16 = 3,077.16 : x
2. Step 2: Convert to fraction form
   2,077.31/3,077.16 = 3,077.16/x
3. Step 3: Cross multiply
   2,077.31x = 3,077.16 × 3,077.16
4. Step 4: Simplify right side
   2,077.31x = 9,468,890.59
5. Step 5: Solve for x
   x = 9,468,890.59/2,077.31
6. Step 6: Final answer
   x = 4,558.24