Finding the Third Proportional to 32,648 and 73,284

Step by Step Solution

1. Step 1: Write the proportion equation
   32,648 : 73,284 = 73,284 : x
2. Step 2: Convert to fraction form
   32,648/73,284 = 73,284/x
3. Step 3: Cross multiply
   32,648x = 73,284 × 73,284
4. Step 4: Simplify right side
   32,648x = 5,370,544,656
5. Step 5: Solve for x
   x = 5,370,544,656/32,648
6. Step 6: Final answer
   x = 164,498.43