Finding the Third Proportional to 3,731.06 and 8,429.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,731.06 : 8,429.91 = 8,429.91 : x
2. Step 2: Convert to fraction form
   3,731.06/8,429.91 = 8,429.91/x
3. Step 3: Cross multiply
   3,731.06x = 8,429.91 × 8,429.91
4. Step 4: Simplify right side
   3,731.06x = 71,063,319.38
5. Step 5: Solve for x
   x = 71,063,319.38/3,731.06
6. Step 6: Final answer
   x = 19,046.40