Finding the Third Proportional to 3,204.56 and 7,635.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,204.56 : 7,635.52 = 7,635.52 : x
2. Step 2: Convert to fraction form
   3,204.56/7,635.52 = 7,635.52/x
3. Step 3: Cross multiply
   3,204.56x = 7,635.52 × 7,635.52
4. Step 4: Simplify right side
   3,204.56x = 58,301,098.86
5. Step 5: Solve for x
   x = 58,301,098.86/3,204.56
6. Step 6: Final answer
   x = 18,193.15