Finding the Third Proportional to 38,021 and 59,016

Step by Step Solution

1. Step 1: Write the proportion equation
   38,021 : 59,016 = 59,016 : x
2. Step 2: Convert to fraction form
   38,021/59,016 = 59,016/x
3. Step 3: Cross multiply
   38,021x = 59,016 × 59,016
4. Step 4: Simplify right side
   38,021x = 3,482,888,256
5. Step 5: Solve for x
   x = 3,482,888,256/38,021
6. Step 6: Final answer
   x = 91,604.33