Finding the Third Proportional to 20,086 and 31,216

Step by Step Solution

1. Step 1: Write the proportion equation
   20,086 : 31,216 = 31,216 : x
2. Step 2: Convert to fraction form
   20,086/31,216 = 31,216/x
3. Step 3: Cross multiply
   20,086x = 31,216 × 31,216
4. Step 4: Simplify right side
   20,086x = 974,438,656
5. Step 5: Solve for x
   x = 974,438,656/20,086
6. Step 6: Final answer
   x = 48,513.33