Finding the Third Proportional to 616.78 and 1,353.38

Step by Step Solution

1. Step 1: Write the proportion equation
   616.78 : 1,353.38 = 1,353.38 : x
2. Step 2: Convert to fraction form
   616.78/1,353.38 = 1,353.38/x
3. Step 3: Cross multiply
   616.78x = 1,353.38 × 1,353.38
4. Step 4: Simplify right side
   616.78x = 1,831,623.89
5. Step 5: Solve for x
   x = 1,831,623.89/616.78
6. Step 6: Final answer
   x = 2,969.65