Finding the Third Proportional to 21,664 and 31,772

Step by Step Solution

1. Step 1: Write the proportion equation
   21,664 : 31,772 = 31,772 : x
2. Step 2: Convert to fraction form
   21,664/31,772 = 31,772/x
3. Step 3: Cross multiply
   21,664x = 31,772 × 31,772
4. Step 4: Simplify right side
   21,664x = 1,009,459,984
5. Step 5: Solve for x
   x = 1,009,459,984/21,664
6. Step 6: Final answer
   x = 46,596.20