Finding the Third Proportional to 33,406 and 49,012

Step by Step Solution

1. Step 1: Write the proportion equation
   33,406 : 49,012 = 49,012 : x
2. Step 2: Convert to fraction form
   33,406/49,012 = 49,012/x
3. Step 3: Cross multiply
   33,406x = 49,012 × 49,012
4. Step 4: Simplify right side
   33,406x = 2,402,176,144
5. Step 5: Solve for x
   x = 2,402,176,144/33,406
6. Step 6: Final answer
   x = 71,908.52