Finding the Third Proportional to 11,186 and 23,702

Step by Step Solution

1. Step 1: Write the proportion equation
   11,186 : 23,702 = 23,702 : x
2. Step 2: Convert to fraction form
   11,186/23,702 = 23,702/x
3. Step 3: Cross multiply
   11,186x = 23,702 × 23,702
4. Step 4: Simplify right side
   11,186x = 561,784,804
5. Step 5: Solve for x
   x = 561,784,804/11,186
6. Step 6: Final answer
   x = 50,222.14