Finding the Third Proportional to 33,508 and 72,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,508 : 72,848 = 72,848 : x
2. Step 2: Convert to fraction form
   33,508/72,848 = 72,848/x
3. Step 3: Cross multiply
   33,508x = 72,848 × 72,848
4. Step 4: Simplify right side
   33,508x = 5,306,831,104
5. Step 5: Solve for x
   x = 5,306,831,104/33,508
6. Step 6: Final answer
   x = 158,375.05