Finding the Third Proportional to 33,376 and 71,648

Step by Step Solution

1. Step 1: Write the proportion equation
   33,376 : 71,648 = 71,648 : x
2. Step 2: Convert to fraction form
   33,376/71,648 = 71,648/x
3. Step 3: Cross multiply
   33,376x = 71,648 × 71,648
4. Step 4: Simplify right side
   33,376x = 5,133,435,904
5. Step 5: Solve for x
   x = 5,133,435,904/33,376
6. Step 6: Final answer
   x = 153,806.21