Finding the Third Proportional to 33,638 and 70,761

Step by Step Solution

1. Step 1: Write the proportion equation
   33,638 : 70,761 = 70,761 : x
2. Step 2: Convert to fraction form
   33,638/70,761 = 70,761/x
3. Step 3: Cross multiply
   33,638x = 70,761 × 70,761
4. Step 4: Simplify right side
   33,638x = 5,007,119,121
5. Step 5: Solve for x
   x = 5,007,119,121/33,638
6. Step 6: Final answer
   x = 148,853.06