Finding the Third Proportional to 38,864 and 57,019

Step by Step Solution

1. Step 1: Write the proportion equation
   38,864 : 57,019 = 57,019 : x
2. Step 2: Convert to fraction form
   38,864/57,019 = 57,019/x
3. Step 3: Cross multiply
   38,864x = 57,019 × 57,019
4. Step 4: Simplify right side
   38,864x = 3,251,166,361
5. Step 5: Solve for x
   x = 3,251,166,361/38,864
6. Step 6: Final answer
   x = 83,654.96