Finding the Third Proportional to 11,096 and 24,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096 : 24,628.50 = 24,628.50 : x
2. Step 2: Convert to fraction form
   11,096/24,628.50 = 24,628.50/x
3. Step 3: Cross multiply
   11,096x = 24,628.50 × 24,628.50
4. Step 4: Simplify right side
   11,096x = 606,563,012.25
5. Step 5: Solve for x
   x = 606,563,012.25/11,096
6. Step 6: Final answer
   x = 54,665.02