Finding the Third Proportional to 3,714.19 and 8,614.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,714.19 : 8,614.69 = 8,614.69 : x
2. Step 2: Convert to fraction form
   3,714.19/8,614.69 = 8,614.69/x
3. Step 3: Cross multiply
   3,714.19x = 8,614.69 × 8,614.69
4. Step 4: Simplify right side
   3,714.19x = 74,212,840.72
5. Step 5: Solve for x
   x = 74,212,840.72/3,714.19
6. Step 6: Final answer
   x = 19,980.91