Finding the Third Proportional to 1,771.88 and 3,714.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,771.88 : 3,714.56 = 3,714.56 : x
2. Step 2: Convert to fraction form
   1,771.88/3,714.56 = 3,714.56/x
3. Step 3: Cross multiply
   1,771.88x = 3,714.56 × 3,714.56
4. Step 4: Simplify right side
   1,771.88x = 13,797,974.57
5. Step 5: Solve for x
   x = 13,797,974.57/1,771.88
6. Step 6: Final answer
   x = 7,787.22