Finding the Third Proportional to 10,678 and 22,532

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 22,532 = 22,532 : x
2. Step 2: Convert to fraction form
   10,678/22,532 = 22,532/x
3. Step 3: Cross multiply
   10,678x = 22,532 × 22,532
4. Step 4: Simplify right side
   10,678x = 507,691,024
5. Step 5: Solve for x
   x = 507,691,024/10,678
6. Step 6: Final answer
   x = 47,545.52