Finding the Third Proportional to 11,519 and 17,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,519 : 17,322.50 = 17,322.50 : x
2. Step 2: Convert to fraction form
   11,519/17,322.50 = 17,322.50/x
3. Step 3: Cross multiply
   11,519x = 17,322.50 × 17,322.50
4. Step 4: Simplify right side
   11,519x = 300,069,006.25
5. Step 5: Solve for x
   x = 300,069,006.25/11,519
6. Step 6: Final answer
   x = 26,049.92