Finding the Third Proportional to 21,106 and 32,679

Step by Step Solution

1. Step 1: Write the proportion equation
   21,106 : 32,679 = 32,679 : x
2. Step 2: Convert to fraction form
   21,106/32,679 = 32,679/x
3. Step 3: Cross multiply
   21,106x = 32,679 × 32,679
4. Step 4: Simplify right side
   21,106x = 1,067,917,041
5. Step 5: Solve for x
   x = 1,067,917,041/21,106
6. Step 6: Final answer
   x = 50,597.79