Finding the Third Proportional to 1,738.55 and 3,564.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.55 : 3,564.42 = 3,564.42 : x
2. Step 2: Convert to fraction form
   1,738.55/3,564.42 = 3,564.42/x
3. Step 3: Cross multiply
   1,738.55x = 3,564.42 × 3,564.42
4. Step 4: Simplify right side
   1,738.55x = 12,705,103.30
5. Step 5: Solve for x
   x = 12,705,103.30/1,738.55
6. Step 6: Final answer
   x = 7,307.89