Finding the Third Proportional to 2,180.74 and 3,114.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.74 : 3,114.81 = 3,114.81 : x
2. Step 2: Convert to fraction form
   2,180.74/3,114.81 = 3,114.81/x
3. Step 3: Cross multiply
   2,180.74x = 3,114.81 × 3,114.81
4. Step 4: Simplify right side
   2,180.74x = 9,702,032.58
5. Step 5: Solve for x
   x = 9,702,032.58/2,180.74
6. Step 6: Final answer
   x = 4,448.96