Finding the Third Proportional to 11,097 and 23,834.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,097 : 23,834.25 = 23,834.25 : x
2. Step 2: Convert to fraction form
   11,097/23,834.25 = 23,834.25/x
3. Step 3: Cross multiply
   11,097x = 23,834.25 × 23,834.25
4. Step 4: Simplify right side
   11,097x = 568,071,473.06
5. Step 5: Solve for x
   x = 568,071,473.06/11,097
6. Step 6: Final answer
   x = 51,191.45