Finding the Third Proportional to 1,076.41 and 1,614.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076.41 : 1,614.62 = 1,614.62 : x
2. Step 2: Convert to fraction form
   1,076.41/1,614.62 = 1,614.62/x
3. Step 3: Cross multiply
   1,076.41x = 1,614.62 × 1,614.62
4. Step 4: Simplify right side
   1,076.41x = 2,607,001.28
5. Step 5: Solve for x
   x = 2,607,001.28/1,076.41
6. Step 6: Final answer
   x = 2,421.93