Finding the Third Proportional to 1,099.56 and 2,382.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.56 : 2,382.63 = 2,382.63 : x
2. Step 2: Convert to fraction form
   1,099.56/2,382.63 = 2,382.63/x
3. Step 3: Cross multiply
   1,099.56x = 2,382.63 × 2,382.63
4. Step 4: Simplify right side
   1,099.56x = 5,676,901.89
5. Step 5: Solve for x
   x = 5,676,901.89/1,099.56
6. Step 6: Final answer
   x = 5,162.87