Finding the Third Proportional to 33,670 and 70,823

Step by Step Solution

1. Step 1: Write the proportion equation
   33,670 : 70,823 = 70,823 : x
2. Step 2: Convert to fraction form
   33,670/70,823 = 70,823/x
3. Step 3: Cross multiply
   33,670x = 70,823 × 70,823
4. Step 4: Simplify right side
   33,670x = 5,015,897,329
5. Step 5: Solve for x
   x = 5,015,897,329/33,670
6. Step 6: Final answer
   x = 148,972.30