Finding the Third Proportional to 1,766.34 and 3,714.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.34 : 3,714.45 = 3,714.45 : x
2. Step 2: Convert to fraction form
   1,766.34/3,714.45 = 3,714.45/x
3. Step 3: Cross multiply
   1,766.34x = 3,714.45 × 3,714.45
4. Step 4: Simplify right side
   1,766.34x = 13,797,147.51
5. Step 5: Solve for x
   x = 13,797,147.51/1,766.34
6. Step 6: Final answer
   x = 7,811.16