Finding the Third Proportional to 10,646 and 23,134

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646 : 23,134 = 23,134 : x
2. Step 2: Convert to fraction form
   10,646/23,134 = 23,134/x
3. Step 3: Cross multiply
   10,646x = 23,134 × 23,134
4. Step 4: Simplify right side
   10,646x = 535,181,956
5. Step 5: Solve for x
   x = 535,181,956/10,646
6. Step 6: Final answer
   x = 50,270.71