Finding the Third Proportional to 4,870 and 10,226

Step by Step Solution

1. Step 1: Write the proportion equation
   4,870 : 10,226 = 10,226 : x
2. Step 2: Convert to fraction form
   4,870/10,226 = 10,226/x
3. Step 3: Cross multiply
   4,870x = 10,226 × 10,226
4. Step 4: Simplify right side
   4,870x = 104,571,076
5. Step 5: Solve for x
   x = 104,571,076/4,870
6. Step 6: Final answer
   x = 21,472.50