Finding the Third Proportional to 33,500 and 51,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,500 : 51,848 = 51,848 : x
2. Step 2: Convert to fraction form
   33,500/51,848 = 51,848/x
3. Step 3: Cross multiply
   33,500x = 51,848 × 51,848
4. Step 4: Simplify right side
   33,500x = 2,688,215,104
5. Step 5: Solve for x
   x = 2,688,215,104/33,500
6. Step 6: Final answer
   x = 80,245.23