Finding the Third Proportional to 33,597 and 70,434

Step by Step Solution

1. Step 1: Write the proportion equation
   33,597 : 70,434 = 70,434 : x
2. Step 2: Convert to fraction form
   33,597/70,434 = 70,434/x
3. Step 3: Cross multiply
   33,597x = 70,434 × 70,434
4. Step 4: Simplify right side
   33,597x = 4,960,948,356
5. Step 5: Solve for x
   x = 4,960,948,356/33,597
6. Step 6: Final answer
   x = 147,660.46