Finding the Third Proportional to 10,646 and 23,210

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646 : 23,210 = 23,210 : x
2. Step 2: Convert to fraction form
   10,646/23,210 = 23,210/x
3. Step 3: Cross multiply
   10,646x = 23,210 × 23,210
4. Step 4: Simplify right side
   10,646x = 538,704,100
5. Step 5: Solve for x
   x = 538,704,100/10,646
6. Step 6: Final answer
   x = 50,601.55