Finding the Third Proportional to 824.34 and 1,099.41

Step by Step Solution

1. Step 1: Write the proportion equation
   824.34 : 1,099.41 = 1,099.41 : x
2. Step 2: Convert to fraction form
   824.34/1,099.41 = 1,099.41/x
3. Step 3: Cross multiply
   824.34x = 1,099.41 × 1,099.41
4. Step 4: Simplify right side
   824.34x = 1,208,694.10
5. Step 5: Solve for x
   x = 1,208,694.10/824.34
6. Step 6: Final answer
   x = 1,466.25