Finding the Third Proportional to 33,510 and 70,464

Step by Step Solution

1. Step 1: Write the proportion equation
   33,510 : 70,464 = 70,464 : x
2. Step 2: Convert to fraction form
   33,510/70,464 = 70,464/x
3. Step 3: Cross multiply
   33,510x = 70,464 × 70,464
4. Step 4: Simplify right side
   33,510x = 4,965,175,296
5. Step 5: Solve for x
   x = 4,965,175,296/33,510
6. Step 6: Final answer
   x = 148,169.96