Finding the Third Proportional to 9,872 and 21,664

Step by Step Solution

1. Step 1: Write the proportion equation
   9,872 : 21,664 = 21,664 : x
2. Step 2: Convert to fraction form
   9,872/21,664 = 21,664/x
3. Step 3: Cross multiply
   9,872x = 21,664 × 21,664
4. Step 4: Simplify right side
   9,872x = 469,328,896
5. Step 5: Solve for x
   x = 469,328,896/9,872
6. Step 6: Final answer
   x = 47,541.42