Finding the Third Proportional to 4,674 and 10,126

Step by Step Solution

1. Step 1: Write the proportion equation
   4,674 : 10,126 = 10,126 : x
2. Step 2: Convert to fraction form
   4,674/10,126 = 10,126/x
3. Step 3: Cross multiply
   4,674x = 10,126 × 10,126
4. Step 4: Simplify right side
   4,674x = 102,535,876
5. Step 5: Solve for x
   x = 102,535,876/4,674
6. Step 6: Final answer
   x = 21,937.50