Finding the Third Proportional to 1,201.78 and 1,617.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.78 : 1,617.05 = 1,617.05 : x
2. Step 2: Convert to fraction form
   1,201.78/1,617.05 = 1,617.05/x
3. Step 3: Cross multiply
   1,201.78x = 1,617.05 × 1,617.05
4. Step 4: Simplify right side
   1,201.78x = 2,614,840.60
5. Step 5: Solve for x
   x = 2,614,840.60/1,201.78
6. Step 6: Final answer
   x = 2,175.80