Finding the Third Proportional to 1,714.92 and 3,685.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,714.92 : 3,685.78 = 3,685.78 : x
2. Step 2: Convert to fraction form
   1,714.92/3,685.78 = 3,685.78/x
3. Step 3: Cross multiply
   1,714.92x = 3,685.78 × 3,685.78
4. Step 4: Simplify right side
   1,714.92x = 13,584,983.42
5. Step 5: Solve for x
   x = 13,584,983.42/1,714.92
6. Step 6: Final answer
   x = 7,921.63