Finding the Third Proportional to 10,546 and 22,388

Step by Step Solution

1. Step 1: Write the proportion equation
   10,546 : 22,388 = 22,388 : x
2. Step 2: Convert to fraction form
   10,546/22,388 = 22,388/x
3. Step 3: Cross multiply
   10,546x = 22,388 × 22,388
4. Step 4: Simplify right side
   10,546x = 501,222,544
5. Step 5: Solve for x
   x = 501,222,544/10,546
6. Step 6: Final answer
   x = 47,527.27