Finding the Third Proportional to 22,185 and 34,249

Step by Step Solution

1. Step 1: Write the proportion equation
   22,185 : 34,249 = 34,249 : x
2. Step 2: Convert to fraction form
   22,185/34,249 = 34,249/x
3. Step 3: Cross multiply
   22,185x = 34,249 × 34,249
4. Step 4: Simplify right side
   22,185x = 1,172,994,001
5. Step 5: Solve for x
   x = 1,172,994,001/22,185
6. Step 6: Final answer
   x = 52,873.29