Finding the Third Proportional to 10,906.50 and 22,302

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906.50 : 22,302 = 22,302 : x
2. Step 2: Convert to fraction form
   10,906.50/22,302 = 22,302/x
3. Step 3: Cross multiply
   10,906.50x = 22,302 × 22,302
4. Step 4: Simplify right side
   10,906.50x = 497,379,204
5. Step 5: Solve for x
   x = 497,379,204/10,906.50
6. Step 6: Final answer
   x = 45,603.92