Finding the Third Proportional to 3,714.47 and 7,734.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,714.47 : 7,734.80 = 7,734.80 : x
2. Step 2: Convert to fraction form
   3,714.47/7,734.80 = 7,734.80/x
3. Step 3: Cross multiply
   3,714.47x = 7,734.80 × 7,734.80
4. Step 4: Simplify right side
   3,714.47x = 59,827,082.70
5. Step 5: Solve for x
   x = 59,827,082.70/3,714.47
6. Step 6: Final answer
   x = 16,106.50