Finding the Third Proportional to 33,424 and 72,653

Step by Step Solution

1. Step 1: Write the proportion equation
   33,424 : 72,653 = 72,653 : x
2. Step 2: Convert to fraction form
   33,424/72,653 = 72,653/x
3. Step 3: Cross multiply
   33,424x = 72,653 × 72,653
4. Step 4: Simplify right side
   33,424x = 5,278,458,409
5. Step 5: Solve for x
   x = 5,278,458,409/33,424
6. Step 6: Final answer
   x = 157,924.20