Finding the Third Proportional to 4,217.91 and 8,314.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,217.91 : 8,314.31 = 8,314.31 : x
2. Step 2: Convert to fraction form
   4,217.91/8,314.31 = 8,314.31/x
3. Step 3: Cross multiply
   4,217.91x = 8,314.31 × 8,314.31
4. Step 4: Simplify right side
   4,217.91x = 69,127,792.35
5. Step 5: Solve for x
   x = 69,127,792.35/4,217.91
6. Step 6: Final answer
   x = 16,389.12