Finding the Third Proportional to 21,902 and 33,825

Step by Step Solution

1. Step 1: Write the proportion equation
   21,902 : 33,825 = 33,825 : x
2. Step 2: Convert to fraction form
   21,902/33,825 = 33,825/x
3. Step 3: Cross multiply
   21,902x = 33,825 × 33,825
4. Step 4: Simplify right side
   21,902x = 1,144,130,625
5. Step 5: Solve for x
   x = 1,144,130,625/21,902
6. Step 6: Final answer
   x = 52,238.64