Finding the Third Proportional to 11,257 and 20,906

Step by Step Solution

1. Step 1: Write the proportion equation
   11,257 : 20,906 = 20,906 : x
2. Step 2: Convert to fraction form
   11,257/20,906 = 20,906/x
3. Step 3: Cross multiply
   11,257x = 20,906 × 20,906
4. Step 4: Simplify right side
   11,257x = 437,060,836
5. Step 5: Solve for x
   x = 437,060,836/11,257
6. Step 6: Final answer
   x = 38,825.69