Finding the Third Proportional to 11,434 and 23,186

Step by Step Solution

1. Step 1: Write the proportion equation
   11,434 : 23,186 = 23,186 : x
2. Step 2: Convert to fraction form
   11,434/23,186 = 23,186/x
3. Step 3: Cross multiply
   11,434x = 23,186 × 23,186
4. Step 4: Simplify right side
   11,434x = 537,590,596
5. Step 5: Solve for x
   x = 537,590,596/11,434
6. Step 6: Final answer
   x = 47,016.84