Finding the Third Proportional to 40,320 and 64,734

Step by Step Solution

1. Step 1: Write the proportion equation
   40,320 : 64,734 = 64,734 : x
2. Step 2: Convert to fraction form
   40,320/64,734 = 64,734/x
3. Step 3: Cross multiply
   40,320x = 64,734 × 64,734
4. Step 4: Simplify right side
   40,320x = 4,190,490,756
5. Step 5: Solve for x
   x = 4,190,490,756/40,320
6. Step 6: Final answer
   x = 103,930.82