Finding the Third Proportional to 21,848 and 32,966

Step by Step Solution

1. Step 1: Write the proportion equation
   21,848 : 32,966 = 32,966 : x
2. Step 2: Convert to fraction form
   21,848/32,966 = 32,966/x
3. Step 3: Cross multiply
   21,848x = 32,966 × 32,966
4. Step 4: Simplify right side
   21,848x = 1,086,757,156
5. Step 5: Solve for x
   x = 1,086,757,156/21,848
6. Step 6: Final answer
   x = 49,741.72