Finding the Third Proportional to 33,624 and 70,992

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 70,992 = 70,992 : x
2. Step 2: Convert to fraction form
   33,624/70,992 = 70,992/x
3. Step 3: Cross multiply
   33,624x = 70,992 × 70,992
4. Step 4: Simplify right side
   33,624x = 5,039,864,064
5. Step 5: Solve for x
   x = 5,039,864,064/33,624
6. Step 6: Final answer
   x = 149,888.89