Finding the Third Proportional to 1,083.50 and 2,302

Step by Step Solution

1. Step 1: Write the proportion equation
   1,083.50 : 2,302 = 2,302 : x
2. Step 2: Convert to fraction form
   1,083.50/2,302 = 2,302/x
3. Step 3: Cross multiply
   1,083.50x = 2,302 × 2,302
4. Step 4: Simplify right side
   1,083.50x = 5,299,204
5. Step 5: Solve for x
   x = 5,299,204/1,083.50
6. Step 6: Final answer
   x = 4,890.82