Finding the Third Proportional to 9,808 and 15,196

Step by Step Solution

1. Step 1: Write the proportion equation
   9,808 : 15,196 = 15,196 : x
2. Step 2: Convert to fraction form
   9,808/15,196 = 15,196/x
3. Step 3: Cross multiply
   9,808x = 15,196 × 15,196
4. Step 4: Simplify right side
   9,808x = 230,918,416
5. Step 5: Solve for x
   x = 230,918,416/9,808
6. Step 6: Final answer
   x = 23,543.88