Finding the Third Proportional to 1,614.38 and 2,180.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,614.38 : 2,180.81 = 2,180.81 : x
2. Step 2: Convert to fraction form
   1,614.38/2,180.81 = 2,180.81/x
3. Step 3: Cross multiply
   1,614.38x = 2,180.81 × 2,180.81
4. Step 4: Simplify right side
   1,614.38x = 4,755,943.16
5. Step 5: Solve for x
   x = 4,755,943.16/1,614.38
6. Step 6: Final answer
   x = 2,946.00