Finding the Third Proportional to 39,634 and 88,016

Step by Step Solution

1. Step 1: Write the proportion equation
   39,634 : 88,016 = 88,016 : x
2. Step 2: Convert to fraction form
   39,634/88,016 = 88,016/x
3. Step 3: Cross multiply
   39,634x = 88,016 × 88,016
4. Step 4: Simplify right side
   39,634x = 7,746,816,256
5. Step 5: Solve for x
   x = 7,746,816,256/39,634
6. Step 6: Final answer
   x = 195,458.85