Finding the Third Proportional to 19,664 and 30,448

Step by Step Solution

1. Step 1: Write the proportion equation
   19,664 : 30,448 = 30,448 : x
2. Step 2: Convert to fraction form
   19,664/30,448 = 30,448/x
3. Step 3: Cross multiply
   19,664x = 30,448 × 30,448
4. Step 4: Simplify right side
   19,664x = 927,080,704
5. Step 5: Solve for x
   x = 927,080,704/19,664
6. Step 6: Final answer
   x = 47,146.09