Finding the Third Proportional to 33,488 and 70,424

Step by Step Solution

1. Step 1: Write the proportion equation
   33,488 : 70,424 = 70,424 : x
2. Step 2: Convert to fraction form
   33,488/70,424 = 70,424/x
3. Step 3: Cross multiply
   33,488x = 70,424 × 70,424
4. Step 4: Simplify right side
   33,488x = 4,959,539,776
5. Step 5: Solve for x
   x = 4,959,539,776/33,488
6. Step 6: Final answer
   x = 148,099.01