Finding the Third Proportional to 11,226 and 23,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,226 : 23,635.50 = 23,635.50 : x
2. Step 2: Convert to fraction form
   11,226/23,635.50 = 23,635.50/x
3. Step 3: Cross multiply
   11,226x = 23,635.50 × 23,635.50
4. Step 4: Simplify right side
   11,226x = 558,636,860.25
5. Step 5: Solve for x
   x = 558,636,860.25/11,226
6. Step 6: Final answer
   x = 49,762.77