Finding the Third Proportional to 33,648 and 73,188

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 73,188 = 73,188 : x
2. Step 2: Convert to fraction form
   33,648/73,188 = 73,188/x
3. Step 3: Cross multiply
   33,648x = 73,188 × 73,188
4. Step 4: Simplify right side
   33,648x = 5,356,483,344
5. Step 5: Solve for x
   x = 5,356,483,344/33,648
6. Step 6: Final answer
   x = 159,191.73