Finding the Third Proportional to 38,016 and 88,830

Step by Step Solution

1. Step 1: Write the proportion equation
   38,016 : 88,830 = 88,830 : x
2. Step 2: Convert to fraction form
   38,016/88,830 = 88,830/x
3. Step 3: Cross multiply
   38,016x = 88,830 × 88,830
4. Step 4: Simplify right side
   38,016x = 7,890,768,900
5. Step 5: Solve for x
   x = 7,890,768,900/38,016
6. Step 6: Final answer
   x = 207,564.42