Finding the Third Proportional to 33,816 and 73,560

Step by Step Solution

1. Step 1: Write the proportion equation
   33,816 : 73,560 = 73,560 : x
2. Step 2: Convert to fraction form
   33,816/73,560 = 73,560/x
3. Step 3: Cross multiply
   33,816x = 73,560 × 73,560
4. Step 4: Simplify right side
   33,816x = 5,411,073,600
5. Step 5: Solve for x
   x = 5,411,073,600/33,816
6. Step 6: Final answer
   x = 160,015.19