Finding the Third Proportional to 33,710 and 73,648

Step by Step Solution

1. Step 1: Write the proportion equation
   33,710 : 73,648 = 73,648 : x
2. Step 2: Convert to fraction form
   33,710/73,648 = 73,648/x
3. Step 3: Cross multiply
   33,710x = 73,648 × 73,648
4. Step 4: Simplify right side
   33,710x = 5,424,027,904
5. Step 5: Solve for x
   x = 5,424,027,904/33,710
6. Step 6: Final answer
   x = 160,902.64