Finding the Third Proportional to 1,083.38 and 1,670.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.38 : 1,670.63 = 1,670.63 : x
2. Step 2: Convert to fraction form
   1,083.38/1,670.63 = 1,670.63/x
3. Step 3: Cross multiply
   1,083.38x = 1,670.63 × 1,670.63
4. Step 4: Simplify right side
   1,083.38x = 2,790,987.89
5. Step 5: Solve for x
   x = 2,790,987.89/1,083.38
6. Step 6: Final answer
   x = 2,576.20