Finding the Third Proportional to 33,796 and 52,020

Step by Step Solution

1. Step 1: Write the proportion equation
   33,796 : 52,020 = 52,020 : x
2. Step 2: Convert to fraction form
   33,796/52,020 = 52,020/x
3. Step 3: Cross multiply
   33,796x = 52,020 × 52,020
4. Step 4: Simplify right side
   33,796x = 2,706,080,400
5. Step 5: Solve for x
   x = 2,706,080,400/33,796
6. Step 6: Final answer
   x = 80,071.03