Finding the Third Proportional to 11,109 and 23,797.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,109 : 23,797.50 = 23,797.50 : x
2. Step 2: Convert to fraction form
   11,109/23,797.50 = 23,797.50/x
3. Step 3: Cross multiply
   11,109x = 23,797.50 × 23,797.50
4. Step 4: Simplify right side
   11,109x = 566,321,006.25
5. Step 5: Solve for x
   x = 566,321,006.25/11,109
6. Step 6: Final answer
   x = 50,978.58