Finding the Third Proportional to 33,008 and 70,624

Step by Step Solution

1. Step 1: Write the proportion equation
   33,008 : 70,624 = 70,624 : x
2. Step 2: Convert to fraction form
   33,008/70,624 = 70,624/x
3. Step 3: Cross multiply
   33,008x = 70,624 × 70,624
4. Step 4: Simplify right side
   33,008x = 4,987,749,376
5. Step 5: Solve for x
   x = 4,987,749,376/33,008
6. Step 6: Final answer
   x = 151,107.29