Finding the Third Proportional to 21,112 and 32,966

Step by Step Solution

1. Step 1: Write the proportion equation
   21,112 : 32,966 = 32,966 : x
2. Step 2: Convert to fraction form
   21,112/32,966 = 32,966/x
3. Step 3: Cross multiply
   21,112x = 32,966 × 32,966
4. Step 4: Simplify right side
   21,112x = 1,086,757,156
5. Step 5: Solve for x
   x = 1,086,757,156/21,112
6. Step 6: Final answer
   x = 51,475.80