Finding the Third Proportional to 1,615.78 and 3,564.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,615.78 : 3,564.42 = 3,564.42 : x
2. Step 2: Convert to fraction form
   1,615.78/3,564.42 = 3,564.42/x
3. Step 3: Cross multiply
   1,615.78x = 3,564.42 × 3,564.42
4. Step 4: Simplify right side
   1,615.78x = 12,705,103.30
5. Step 5: Solve for x
   x = 12,705,103.30/1,615.78
6. Step 6: Final answer
   x = 7,863.13