Finding the Third Proportional to 10,578 and 22,334

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 22,334 = 22,334 : x
2. Step 2: Convert to fraction form
   10,578/22,334 = 22,334/x
3. Step 3: Cross multiply
   10,578x = 22,334 × 22,334
4. Step 4: Simplify right side
   10,578x = 498,807,556
5. Step 5: Solve for x
   x = 498,807,556/10,578
6. Step 6: Final answer
   x = 47,155.19