Finding the Third Proportional to 38,016 and 88,099

Step by Step Solution

1. Step 1: Write the proportion equation
   38,016 : 88,099 = 88,099 : x
2. Step 2: Convert to fraction form
   38,016/88,099 = 88,099/x
3. Step 3: Cross multiply
   38,016x = 88,099 × 88,099
4. Step 4: Simplify right side
   38,016x = 7,761,433,801
5. Step 5: Solve for x
   x = 7,761,433,801/38,016
6. Step 6: Final answer
   x = 204,162.29