Finding the Third Proportional to 2,905.88 and 4,114.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,905.88 : 4,114.69 = 4,114.69 : x
2. Step 2: Convert to fraction form
   2,905.88/4,114.69 = 4,114.69/x
3. Step 3: Cross multiply
   2,905.88x = 4,114.69 × 4,114.69
4. Step 4: Simplify right side
   2,905.88x = 16,930,653.22
5. Step 5: Solve for x
   x = 16,930,653.22/2,905.88
6. Step 6: Final answer
   x = 5,826.35