Finding the Third Proportional to 21,106 and 32,680

Step by Step Solution

1. Step 1: Write the proportion equation
   21,106 : 32,680 = 32,680 : x
2. Step 2: Convert to fraction form
   21,106/32,680 = 32,680/x
3. Step 3: Cross multiply
   21,106x = 32,680 × 32,680
4. Step 4: Simplify right side
   21,106x = 1,067,982,400
5. Step 5: Solve for x
   x = 1,067,982,400/21,106
6. Step 6: Final answer
   x = 50,600.89