Finding the Third Proportional to 33,790 and 52,014

Step by Step Solution

1. Step 1: Write the proportion equation
   33,790 : 52,014 = 52,014 : x
2. Step 2: Convert to fraction form
   33,790/52,014 = 52,014/x
3. Step 3: Cross multiply
   33,790x = 52,014 × 52,014
4. Step 4: Simplify right side
   33,790x = 2,705,456,196
5. Step 5: Solve for x
   x = 2,705,456,196/33,790
6. Step 6: Final answer
   x = 80,066.77