Finding the Third Proportional to 33,816 and 52,570

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 52,570 = 52,570 : x
2. Step 2: Convert to fraction form
   33,816/52,570 = 52,570/x
3. Step 3: Cross multiply
   33,816x = 52,570 × 52,570
4. Step 4: Simplify right side
   33,816x = 2,763,604,900
5. Step 5: Solve for x
   x = 2,763,604,900/33,816
6. Step 6: Final answer
   x = 81,724.77