Finding the Third Proportional to 33,175 and 70,189

Step by Step Solution

1. Step 1: Write the proportion equation
   33,175 : 70,189 = 70,189 : x
2. Step 2: Convert to fraction form
   33,175/70,189 = 70,189/x
3. Step 3: Cross multiply
   33,175x = 70,189 × 70,189
4. Step 4: Simplify right side
   33,175x = 4,926,495,721
5. Step 5: Solve for x
   x = 4,926,495,721/33,175
6. Step 6: Final answer
   x = 148,500.25