Finding the Third Proportional to 11,259 and 17,526.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,259 : 17,526.38 = 17,526.38 : x
2. Step 2: Convert to fraction form
   11,259/17,526.38 = 17,526.38/x
3. Step 3: Cross multiply
   11,259x = 17,526.38 × 17,526.38
4. Step 4: Simplify right side
   11,259x = 307,173,820.64
5. Step 5: Solve for x
   x = 307,173,820.64/11,259
6. Step 6: Final answer
   x = 27,282.51