Finding the Third Proportional to 11,534 and 17,894

Step by Step Solution

1. Step 1: Write the proportion equation
   11,534 : 17,894 = 17,894 : x
2. Step 2: Convert to fraction form
   11,534/17,894 = 17,894/x
3. Step 3: Cross multiply
   11,534x = 17,894 × 17,894
4. Step 4: Simplify right side
   11,534x = 320,195,236
5. Step 5: Solve for x
   x = 320,195,236/11,534
6. Step 6: Final answer
   x = 27,760.99