Finding the Third Proportional to 32,640 and 70,128

Step by Step Solution

1. Step 1: Write the proportion equation
   32,640 : 70,128 = 70,128 : x
2. Step 2: Convert to fraction form
   32,640/70,128 = 70,128/x
3. Step 3: Cross multiply
   32,640x = 70,128 × 70,128
4. Step 4: Simplify right side
   32,640x = 4,917,936,384
5. Step 5: Solve for x
   x = 4,917,936,384/32,640
6. Step 6: Final answer
   x = 150,672.07