Finding the Third Proportional to 11,494 and 17,575

Step by Step Solution

1. Step 1: Write the proportion equation
   11,494 : 17,575 = 17,575 : x
2. Step 2: Convert to fraction form
   11,494/17,575 = 17,575/x
3. Step 3: Cross multiply
   11,494x = 17,575 × 17,575
4. Step 4: Simplify right side
   11,494x = 308,880,625
5. Step 5: Solve for x
   x = 308,880,625/11,494
6. Step 6: Final answer
   x = 26,873.21