Finding the Third Proportional to 11,897.25 and 17,775.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,897.25 : 17,775.75 = 17,775.75 : x
2. Step 2: Convert to fraction form
   11,897.25/17,775.75 = 17,775.75/x
3. Step 3: Cross multiply
   11,897.25x = 17,775.75 × 17,775.75
4. Step 4: Simplify right side
   11,897.25x = 315,977,288.06
5. Step 5: Solve for x
   x = 315,977,288.06/11,897.25
6. Step 6: Final answer
   x = 26,558.85