Finding the Third Proportional to 11,577 and 17,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,577 : 17,914.50 = 17,914.50 : x
2. Step 2: Convert to fraction form
   11,577/17,914.50 = 17,914.50/x
3. Step 3: Cross multiply
   11,577x = 17,914.50 × 17,914.50
4. Step 4: Simplify right side
   11,577x = 320,929,310.25
5. Step 5: Solve for x
   x = 320,929,310.25/11,577
6. Step 6: Final answer
   x = 27,721.28