Finding the Third Proportional to 11,758 and 17,851

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758 : 17,851 = 17,851 : x
2. Step 2: Convert to fraction form
   11,758/17,851 = 17,851/x
3. Step 3: Cross multiply
   11,758x = 17,851 × 17,851
4. Step 4: Simplify right side
   11,758x = 318,658,201
5. Step 5: Solve for x
   x = 318,658,201/11,758
6. Step 6: Final answer
   x = 27,101.39