Finding the Third Proportional to 4,738 and 10,310

Step by Step Solution

1. Step 1: Write the proportion equation
   4,738 : 10,310 = 10,310 : x
2. Step 2: Convert to fraction form
   4,738/10,310 = 10,310/x
3. Step 3: Cross multiply
   4,738x = 10,310 × 10,310
4. Step 4: Simplify right side
   4,738x = 106,296,100
5. Step 5: Solve for x
   x = 106,296,100/4,738
6. Step 6: Final answer
   x = 22,434.80