Finding the Third Proportional to 2,077.31 and 4,406.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,077.31 : 4,406.06 = 4,406.06 : x
2. Step 2: Convert to fraction form
   2,077.31/4,406.06 = 4,406.06/x
3. Step 3: Cross multiply
   2,077.31x = 4,406.06 × 4,406.06
4. Step 4: Simplify right side
   2,077.31x = 19,413,386.75
5. Step 5: Solve for x
   x = 19,413,386.75/2,077.31
6. Step 6: Final answer
   x = 9,345.43