Finding the Third Proportional to 1,714.50 and 3,823.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,714.50 : 3,823.88 = 3,823.88 : x
2. Step 2: Convert to fraction form
   1,714.50/3,823.88 = 3,823.88/x
3. Step 3: Cross multiply
   1,714.50x = 3,823.88 × 3,823.88
4. Step 4: Simplify right side
   1,714.50x = 14,622,020.02
5. Step 5: Solve for x
   x = 14,622,020.02/1,714.50
6. Step 6: Final answer
   x = 8,528.45