Finding the Third Proportional to 21,314 and 31,890

Step by Step Solution

1. Step 1: Write the proportion equation
   21,314 : 31,890 = 31,890 : x
2. Step 2: Convert to fraction form
   21,314/31,890 = 31,890/x
3. Step 3: Cross multiply
   21,314x = 31,890 × 31,890
4. Step 4: Simplify right side
   21,314x = 1,016,972,100
5. Step 5: Solve for x
   x = 1,016,972,100/21,314
6. Step 6: Final answer
   x = 47,713.81