Finding the Third Proportional to 1,099.50 and 2,382

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.50 : 2,382 = 2,382 : x
2. Step 2: Convert to fraction form
   1,099.50/2,382 = 2,382/x
3. Step 3: Cross multiply
   1,099.50x = 2,382 × 2,382
4. Step 4: Simplify right side
   1,099.50x = 5,673,924
5. Step 5: Solve for x
   x = 5,673,924/1,099.50
6. Step 6: Final answer
   x = 5,160.46