Finding the Third Proportional to 11,422 and 17,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,422 : 17,578.50 = 17,578.50 : x
2. Step 2: Convert to fraction form
   11,422/17,578.50 = 17,578.50/x
3. Step 3: Cross multiply
   11,422x = 17,578.50 × 17,578.50
4. Step 4: Simplify right side
   11,422x = 309,003,662.25
5. Step 5: Solve for x
   x = 309,003,662.25/11,422
6. Step 6: Final answer
   x = 27,053.38