Finding the Third Proportional to 1,513.13 and 2,083.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,513.13 : 2,083.69 = 2,083.69 : x
2. Step 2: Convert to fraction form
   1,513.13/2,083.69 = 2,083.69/x
3. Step 3: Cross multiply
   1,513.13x = 2,083.69 × 2,083.69
4. Step 4: Simplify right side
   1,513.13x = 4,341,753.60
5. Step 5: Solve for x
   x = 4,341,753.60/1,513.13
6. Step 6: Final answer
   x = 2,869.40