Finding the Third Proportional to 32,684 and 70,768

Step by Step Solution

1. Step 1: Write the proportion equation
   32,684 : 70,768 = 70,768 : x
2. Step 2: Convert to fraction form
   32,684/70,768 = 70,768/x
3. Step 3: Cross multiply
   32,684x = 70,768 × 70,768
4. Step 4: Simplify right side
   32,684x = 5,008,109,824
5. Step 5: Solve for x
   x = 5,008,109,824/32,684
6. Step 6: Final answer
   x = 153,228.18