Finding the Third Proportional to 11,696.50 and 15,175

Step by Step Solution

1. Step 1: Write the proportion equation
   11,696.50 : 15,175 = 15,175 : x
2. Step 2: Convert to fraction form
   11,696.50/15,175 = 15,175/x
3. Step 3: Cross multiply
   11,696.50x = 15,175 × 15,175
4. Step 4: Simplify right side
   11,696.50x = 230,280,625
5. Step 5: Solve for x
   x = 230,280,625/11,696.50
6. Step 6: Final answer
   x = 19,687.99