Finding the Third Proportional to 10,646 and 23,158

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646 : 23,158 = 23,158 : x
2. Step 2: Convert to fraction form
   10,646/23,158 = 23,158/x
3. Step 3: Cross multiply
   10,646x = 23,158 × 23,158
4. Step 4: Simplify right side
   10,646x = 536,292,964
5. Step 5: Solve for x
   x = 536,292,964/10,646
6. Step 6: Final answer
   x = 50,375.07