Finding the Third Proportional to 11,126.25 and 24,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,126.25 : 24,196.50 = 24,196.50 : x
2. Step 2: Convert to fraction form
   11,126.25/24,196.50 = 24,196.50/x
3. Step 3: Cross multiply
   11,126.25x = 24,196.50 × 24,196.50
4. Step 4: Simplify right side
   11,126.25x = 585,470,612.25
5. Step 5: Solve for x
   x = 585,470,612.25/11,126.25
6. Step 6: Final answer
   x = 52,620.66