Finding the Third Proportional to 12,206 and 23,123

Step by Step Solution

1. Step 1: Write the proportion equation
   12,206 : 23,123 = 23,123 : x
2. Step 2: Convert to fraction form
   12,206/23,123 = 23,123/x
3. Step 3: Cross multiply
   12,206x = 23,123 × 23,123
4. Step 4: Simplify right side
   12,206x = 534,673,129
5. Step 5: Solve for x
   x = 534,673,129/12,206
6. Step 6: Final answer
   x = 43,804.12