Finding the Third Proportional to 1,413 and 2,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,413 : 2,083.50 = 2,083.50 : x
2. Step 2: Convert to fraction form
   1,413/2,083.50 = 2,083.50/x
3. Step 3: Cross multiply
   1,413x = 2,083.50 × 2,083.50
4. Step 4: Simplify right side
   1,413x = 4,340,972.25
5. Step 5: Solve for x
   x = 4,340,972.25/1,413
6. Step 6: Final answer
   x = 3,072.17