Finding the Third Proportional to 30,206 and 33,122

Step by Step Solution

1. Step 1: Write the proportion equation
   30,206 : 33,122 = 33,122 : x
2. Step 2: Convert to fraction form
   30,206/33,122 = 33,122/x
3. Step 3: Cross multiply
   30,206x = 33,122 × 33,122
4. Step 4: Simplify right side
   30,206x = 1,097,066,884
5. Step 5: Solve for x
   x = 1,097,066,884/30,206
6. Step 6: Final answer
   x = 36,319.50