Finding the Third Proportional to 33,202 and 70,796

Step by Step Solution

1. Step 1: Write the proportion equation
   33,202 : 70,796 = 70,796 : x
2. Step 2: Convert to fraction form
   33,202/70,796 = 70,796/x
3. Step 3: Cross multiply
   33,202x = 70,796 × 70,796
4. Step 4: Simplify right side
   33,202x = 5,012,073,616
5. Step 5: Solve for x
   x = 5,012,073,616/33,202
6. Step 6: Final answer
   x = 150,956.98