Finding the Third Proportional to 1,146.94 and 1,682.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.94 : 1,682.72 = 1,682.72 : x
2. Step 2: Convert to fraction form
   1,146.94/1,682.72 = 1,682.72/x
3. Step 3: Cross multiply
   1,146.94x = 1,682.72 × 1,682.72
4. Step 4: Simplify right side
   1,146.94x = 2,831,542.39
5. Step 5: Solve for x
   x = 2,831,542.39/1,146.94
6. Step 6: Final answer
   x = 2,468.79