Finding the Third Proportional to 7,632 and 12,258

Step by Step Solution

1. Step 1: Write the proportion equation
   7,632 : 12,258 = 12,258 : x
2. Step 2: Convert to fraction form
   7,632/12,258 = 12,258/x
3. Step 3: Cross multiply
   7,632x = 12,258 × 12,258
4. Step 4: Simplify right side
   7,632x = 150,258,564
5. Step 5: Solve for x
   x = 150,258,564/7,632
6. Step 6: Final answer
   x = 19,687.97