Finding the Third Proportional to 22,196 and 34,205

Step by Step Solution

1. Step 1: Write the proportion equation
   22,196 : 34,205 = 34,205 : x
2. Step 2: Convert to fraction form
   22,196/34,205 = 34,205/x
3. Step 3: Cross multiply
   22,196x = 34,205 × 34,205
4. Step 4: Simplify right side
   22,196x = 1,169,982,025
5. Step 5: Solve for x
   x = 1,169,982,025/22,196
6. Step 6: Final answer
   x = 52,711.39