Finding the Third Proportional to 4,778 and 10,478

Step by Step Solution

1. Step 1: Write the proportion equation
   4,778 : 10,478 = 10,478 : x
2. Step 2: Convert to fraction form
   4,778/10,478 = 10,478/x
3. Step 3: Cross multiply
   4,778x = 10,478 × 10,478
4. Step 4: Simplify right side
   4,778x = 109,788,484
5. Step 5: Solve for x
   x = 109,788,484/4,778
6. Step 6: Final answer
   x = 22,977.92