Finding the Third Proportional to 19,024 and 39,856

Step by Step Solution

1. Step 1: Write the proportion equation
   19,024 : 39,856 = 39,856 : x
2. Step 2: Convert to fraction form
   19,024/39,856 = 39,856/x
3. Step 3: Cross multiply
   19,024x = 39,856 × 39,856
4. Step 4: Simplify right side
   19,024x = 1,588,500,736
5. Step 5: Solve for x
   x = 1,588,500,736/19,024
6. Step 6: Final answer
   x = 83,499.83