Finding the Third Proportional to 33,492 and 72,816

Step by Step Solution

1. Step 1: Write the proportion equation
   33,492 : 72,816 = 72,816 : x
2. Step 2: Convert to fraction form
   33,492/72,816 = 72,816/x
3. Step 3: Cross multiply
   33,492x = 72,816 × 72,816
4. Step 4: Simplify right side
   33,492x = 5,302,169,856
5. Step 5: Solve for x
   x = 5,302,169,856/33,492
6. Step 6: Final answer
   x = 158,311.53