Finding the Third Proportional to 1,073.57 and 1,610.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,073.57 : 1,610.82 = 1,610.82 : x
2. Step 2: Convert to fraction form
   1,073.57/1,610.82 = 1,610.82/x
3. Step 3: Cross multiply
   1,073.57x = 1,610.82 × 1,610.82
4. Step 4: Simplify right side
   1,073.57x = 2,594,754.66
5. Step 5: Solve for x
   x = 2,594,754.66/1,073.57
6. Step 6: Final answer
   x = 2,416.95