Finding the Third Proportional to 33,093 and 72,016.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,093 : 72,016.50 = 72,016.50 : x
2. Step 2: Convert to fraction form
   33,093/72,016.50 = 72,016.50/x
3. Step 3: Cross multiply
   33,093x = 72,016.50 × 72,016.50
4. Step 4: Simplify right side
   33,093x = 5,186,376,272.25
5. Step 5: Solve for x
   x = 5,186,376,272.25/33,093
6. Step 6: Final answer
   x = 156,721.25