Finding the Third Proportional to 2,332.69 and 4,546.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,332.69 : 4,546.69 = 4,546.69 : x
2. Step 2: Convert to fraction form
   2,332.69/4,546.69 = 4,546.69/x
3. Step 3: Cross multiply
   2,332.69x = 4,546.69 × 4,546.69
4. Step 4: Simplify right side
   2,332.69x = 20,672,367.22
5. Step 5: Solve for x
   x = 20,672,367.22/2,332.69
6. Step 6: Final answer
   x = 8,862.04