Finding the Third Proportional to 33,282 and 72,705.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,282 : 72,705.38 = 72,705.38 : x
2. Step 2: Convert to fraction form
   33,282/72,705.38 = 72,705.38/x
3. Step 3: Cross multiply
   33,282x = 72,705.38 × 72,705.38
4. Step 4: Simplify right side
   33,282x = 5,286,071,553.89
5. Step 5: Solve for x
   x = 5,286,071,553.89/33,282
6. Step 6: Final answer
   x = 158,826.74