Finding the Third Proportional to 2,338.88 and 5,421.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,338.88 : 5,421.94 = 5,421.94 : x
2. Step 2: Convert to fraction form
   2,338.88/5,421.94 = 5,421.94/x
3. Step 3: Cross multiply
   2,338.88x = 5,421.94 × 5,421.94
4. Step 4: Simplify right side
   2,338.88x = 29,397,406.25
5. Step 5: Solve for x
   x = 29,397,406.25/2,338.88
6. Step 6: Final answer
   x = 12,569.04