Finding the Third Proportional to 5,823.46 and 9,078.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,823.46 : 9,078.33 = 9,078.33 : x
2. Step 2: Convert to fraction form
   5,823.46/9,078.33 = 9,078.33/x
3. Step 3: Cross multiply
   5,823.46x = 9,078.33 × 9,078.33
4. Step 4: Simplify right side
   5,823.46x = 82,416,041.55
5. Step 5: Solve for x
   x = 82,416,041.55/5,823.46
6. Step 6: Final answer
   x = 14,152.43