Finding the Third Proportional to 21,238 and 31,865

Step by Step Solution

1. Step 1: Write the proportion equation
   21,238 : 31,865 = 31,865 : x
2. Step 2: Convert to fraction form
   21,238/31,865 = 31,865/x
3. Step 3: Cross multiply
   21,238x = 31,865 × 31,865
4. Step 4: Simplify right side
   21,238x = 1,015,378,225
5. Step 5: Solve for x
   x = 1,015,378,225/21,238
6. Step 6: Final answer
   x = 47,809.50