Finding the Third Proportional to 32,648 and 70,216

Step by Step Solution

1. Step 1: Write the proportion equation
   32,648 : 70,216 = 70,216 : x
2. Step 2: Convert to fraction form
   32,648/70,216 = 70,216/x
3. Step 3: Cross multiply
   32,648x = 70,216 × 70,216
4. Step 4: Simplify right side
   32,648x = 4,930,286,656
5. Step 5: Solve for x
   x = 4,930,286,656/32,648
6. Step 6: Final answer
   x = 151,013.44