Finding the Third Proportional to 33,310 and 72,424

Step by Step Solution

1. Step 1: Write the proportion equation
   33,310 : 72,424 = 72,424 : x
2. Step 2: Convert to fraction form
   33,310/72,424 = 72,424/x
3. Step 3: Cross multiply
   33,310x = 72,424 × 72,424
4. Step 4: Simplify right side
   33,310x = 5,245,235,776
5. Step 5: Solve for x
   x = 5,245,235,776/33,310
6. Step 6: Final answer
   x = 157,467.30