Finding the Third Proportional to 32,640 and 70,680

Step by Step Solution

1. Step 1: Write the proportion equation
   32,640 : 70,680 = 70,680 : x
2. Step 2: Convert to fraction form
   32,640/70,680 = 70,680/x
3. Step 3: Cross multiply
   32,640x = 70,680 × 70,680
4. Step 4: Simplify right side
   32,640x = 4,995,662,400
5. Step 5: Solve for x
   x = 4,995,662,400/32,640
6. Step 6: Final answer
   x = 153,053.38