Finding the Third Proportional to 33,682 and 70,748

Step by Step Solution

1. Step 1: Write the proportion equation
   33,682 : 70,748 = 70,748 : x
2. Step 2: Convert to fraction form
   33,682/70,748 = 70,748/x
3. Step 3: Cross multiply
   33,682x = 70,748 × 70,748
4. Step 4: Simplify right side
   33,682x = 5,005,279,504
5. Step 5: Solve for x
   x = 5,005,279,504/33,682
6. Step 6: Final answer
   x = 148,603.99