Finding the Third Proportional to 29,980 and 33,196

Step by Step Solution

1. Step 1: Write the proportion equation
   29,980 : 33,196 = 33,196 : x
2. Step 2: Convert to fraction form
   29,980/33,196 = 33,196/x
3. Step 3: Cross multiply
   29,980x = 33,196 × 33,196
4. Step 4: Simplify right side
   29,980x = 1,101,974,416
5. Step 5: Solve for x
   x = 1,101,974,416/29,980
6. Step 6: Final answer
   x = 36,756.99