Finding the Third Proportional to 33,557 and 73,426

Step by Step Solution

1. Step 1: Write the proportion equation
   33,557 : 73,426 = 73,426 : x
2. Step 2: Convert to fraction form
   33,557/73,426 = 73,426/x
3. Step 3: Cross multiply
   33,557x = 73,426 × 73,426
4. Step 4: Simplify right side
   33,557x = 5,391,377,476
5. Step 5: Solve for x
   x = 5,391,377,476/33,557
6. Step 6: Final answer
   x = 160,663.27