Finding the Third Proportional to 10,642 and 23,126

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642 : 23,126 = 23,126 : x
2. Step 2: Convert to fraction form
   10,642/23,126 = 23,126/x
3. Step 3: Cross multiply
   10,642x = 23,126 × 23,126
4. Step 4: Simplify right side
   10,642x = 534,811,876
5. Step 5: Solve for x
   x = 534,811,876/10,642
6. Step 6: Final answer
   x = 50,254.83