Finding the Third Proportional to 30,816 and 65,472

Step by Step Solution

1. Step 1: Write the proportion equation
   30,816 : 65,472 = 65,472 : x
2. Step 2: Convert to fraction form
   30,816/65,472 = 65,472/x
3. Step 3: Cross multiply
   30,816x = 65,472 × 65,472
4. Step 4: Simplify right side
   30,816x = 4,286,582,784
5. Step 5: Solve for x
   x = 4,286,582,784/30,816
6. Step 6: Final answer
   x = 139,102.50