Finding the Third Proportional to 1,204.31 and 1,610.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,204.31 : 1,610.63 = 1,610.63 : x
2. Step 2: Convert to fraction form
   1,204.31/1,610.63 = 1,610.63/x
3. Step 3: Cross multiply
   1,204.31x = 1,610.63 × 1,610.63
4. Step 4: Simplify right side
   1,204.31x = 2,594,112.89
5. Step 5: Solve for x
   x = 2,594,112.89/1,204.31
6. Step 6: Final answer
   x = 2,154.02