Finding the Third Proportional to 21,323 and 31,985

Step by Step Solution

1. Step 1: Write the proportion equation
   21,323 : 31,985 = 31,985 : x
2. Step 2: Convert to fraction form
   21,323/31,985 = 31,985/x
3. Step 3: Cross multiply
   21,323x = 31,985 × 31,985
4. Step 4: Simplify right side
   21,323x = 1,023,040,225
5. Step 5: Solve for x
   x = 1,023,040,225/21,323
6. Step 6: Final answer
   x = 47,978.25