Finding the Third Proportional to 21,342 and 31,785

Step by Step Solution

1. Step 1: Write the proportion equation
   21,342 : 31,785 = 31,785 : x
2. Step 2: Convert to fraction form
   21,342/31,785 = 31,785/x
3. Step 3: Cross multiply
   21,342x = 31,785 × 31,785
4. Step 4: Simplify right side
   21,342x = 1,010,286,225
5. Step 5: Solve for x
   x = 1,010,286,225/21,342
6. Step 6: Final answer
   x = 47,337.94