Finding the Third Proportional to 11,530.50 and 17,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,530.50 : 17,296.50 = 17,296.50 : x
2. Step 2: Convert to fraction form
   11,530.50/17,296.50 = 17,296.50/x
3. Step 3: Cross multiply
   11,530.50x = 17,296.50 × 17,296.50
4. Step 4: Simplify right side
   11,530.50x = 299,168,912.25
5. Step 5: Solve for x
   x = 299,168,912.25/11,530.50
6. Step 6: Final answer
   x = 25,945.88