Finding the Third Proportional to 33,174 and 69,424

Step by Step Solution

1. Step 1: Write the proportion equation
   33,174 : 69,424 = 69,424 : x
2. Step 2: Convert to fraction form
   33,174/69,424 = 69,424/x
3. Step 3: Cross multiply
   33,174x = 69,424 × 69,424
4. Step 4: Simplify right side
   33,174x = 4,819,691,776
5. Step 5: Solve for x
   x = 4,819,691,776/33,174
6. Step 6: Final answer
   x = 145,285.22