Finding the Third Proportional to 40,320 and 62,688

Step by Step Solution

1. Step 1: Write the proportion equation
   40,320 : 62,688 = 62,688 : x
2. Step 2: Convert to fraction form
   40,320/62,688 = 62,688/x
3. Step 3: Cross multiply
   40,320x = 62,688 × 62,688
4. Step 4: Simplify right side
   40,320x = 3,929,785,344
5. Step 5: Solve for x
   x = 3,929,785,344/40,320
6. Step 6: Final answer
   x = 97,464.91