Finding the Third Proportional to 32,640 and 70,464

Step by Step Solution

1. Step 1: Write the proportion equation
   32,640 : 70,464 = 70,464 : x
2. Step 2: Convert to fraction form
   32,640/70,464 = 70,464/x
3. Step 3: Cross multiply
   32,640x = 70,464 × 70,464
4. Step 4: Simplify right side
   32,640x = 4,965,175,296
5. Step 5: Solve for x
   x = 4,965,175,296/32,640
6. Step 6: Final answer
   x = 152,119.34