Finding the Third Proportional to 2,930.91 and 6,429.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,930.91 : 6,429.38 = 6,429.38 : x
2. Step 2: Convert to fraction form
   2,930.91/6,429.38 = 6,429.38/x
3. Step 3: Cross multiply
   2,930.91x = 6,429.38 × 6,429.38
4. Step 4: Simplify right side
   2,930.91x = 41,336,862.89
5. Step 5: Solve for x
   x = 41,336,862.89/2,930.91
6. Step 6: Final answer
   x = 14,103.78