Finding the Third Proportional to 33,648 and 71,704

Step by Step Solution

1. Step 1: Write the proportion equation
   33,648 : 71,704 = 71,704 : x
2. Step 2: Convert to fraction form
   33,648/71,704 = 71,704/x
3. Step 3: Cross multiply
   33,648x = 71,704 × 71,704
4. Step 4: Simplify right side
   33,648x = 5,141,463,616
5. Step 5: Solve for x
   x = 5,141,463,616/33,648
6. Step 6: Final answer
   x = 152,801.46