Finding the Third Proportional to 33,120 and 76,848

Step by Step Solution

1. Step 1: Write the proportion equation
   33,120 : 76,848 = 76,848 : x
2. Step 2: Convert to fraction form
   33,120/76,848 = 76,848/x
3. Step 3: Cross multiply
   33,120x = 76,848 × 76,848
4. Step 4: Simplify right side
   33,120x = 5,905,615,104
5. Step 5: Solve for x
   x = 5,905,615,104/33,120
6. Step 6: Final answer
   x = 178,309.63