Finding the Third Proportional to 32,275 and 69,648

Step by Step Solution

1. Step 1: Write the proportion equation
   32,275 : 69,648 = 69,648 : x
2. Step 2: Convert to fraction form
   32,275/69,648 = 69,648/x
3. Step 3: Cross multiply
   32,275x = 69,648 × 69,648
4. Step 4: Simplify right side
   32,275x = 4,850,843,904
5. Step 5: Solve for x
   x = 4,850,843,904/32,275
6. Step 6: Final answer
   x = 150,297.25