Finding the Third Proportional to 10,978 and 24,196

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 24,196 = 24,196 : x
2. Step 2: Convert to fraction form
   10,978/24,196 = 24,196/x
3. Step 3: Cross multiply
   10,978x = 24,196 × 24,196
4. Step 4: Simplify right side
   10,978x = 585,446,416
5. Step 5: Solve for x
   x = 585,446,416/10,978
6. Step 6: Final answer
   x = 53,329.06