Finding the Third Proportional to 4,747 and 10,447

Step by Step Solution

1. Step 1: Write the proportion equation
   4,747 : 10,447 = 10,447 : x
2. Step 2: Convert to fraction form
   4,747/10,447 = 10,447/x
3. Step 3: Cross multiply
   4,747x = 10,447 × 10,447
4. Step 4: Simplify right side
   4,747x = 109,139,809
5. Step 5: Solve for x
   x = 109,139,809/4,747
6. Step 6: Final answer
   x = 22,991.32