Finding the Third Proportional to 21,886 and 47,966

Step by Step Solution

1. Step 1: Write the proportion equation
   21,886 : 47,966 = 47,966 : x
2. Step 2: Convert to fraction form
   21,886/47,966 = 47,966/x
3. Step 3: Cross multiply
   21,886x = 47,966 × 47,966
4. Step 4: Simplify right side
   21,886x = 2,300,737,156
5. Step 5: Solve for x
   x = 2,300,737,156/21,886
6. Step 6: Final answer
   x = 105,123.69