Finding the Third Proportional to 21,302 and 31,967

Step by Step Solution

1. Step 1: Write the proportion equation
   21,302 : 31,967 = 31,967 : x
2. Step 2: Convert to fraction form
   21,302/31,967 = 31,967/x
3. Step 3: Cross multiply
   21,302x = 31,967 × 31,967
4. Step 4: Simplify right side
   21,302x = 1,021,889,089
5. Step 5: Solve for x
   x = 1,021,889,089/21,302
6. Step 6: Final answer
   x = 47,971.51