Finding the Third Proportional to 11,528 and 15,196

Step by Step Solution

1. Step 1: Write the proportion equation
   11,528 : 15,196 = 15,196 : x
2. Step 2: Convert to fraction form
   11,528/15,196 = 15,196/x
3. Step 3: Cross multiply
   11,528x = 15,196 × 15,196
4. Step 4: Simplify right side
   11,528x = 230,918,416
5. Step 5: Solve for x
   x = 230,918,416/11,528
6. Step 6: Final answer
   x = 20,031.09