Finding the Third Proportional to 33,424 and 71,359

Step by Step Solution

1. Step 1: Write the proportion equation
   33,424 : 71,359 = 71,359 : x
2. Step 2: Convert to fraction form
   33,424/71,359 = 71,359/x
3. Step 3: Cross multiply
   33,424x = 71,359 × 71,359
4. Step 4: Simplify right side
   33,424x = 5,092,106,881
5. Step 5: Solve for x
   x = 5,092,106,881/33,424
6. Step 6: Final answer
   x = 152,348.82