Finding the Third Proportional to 14,896 and 32,648

Step by Step Solution

1. Step 1: Write the proportion equation
   14,896 : 32,648 = 32,648 : x
2. Step 2: Convert to fraction form
   14,896/32,648 = 32,648/x
3. Step 3: Cross multiply
   14,896x = 32,648 × 32,648
4. Step 4: Simplify right side
   14,896x = 1,065,891,904
5. Step 5: Solve for x
   x = 1,065,891,904/14,896
6. Step 6: Final answer
   x = 71,555.58