Finding the Third Proportional to 9,196 and 17,208

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196 : 17,208 = 17,208 : x
2. Step 2: Convert to fraction form
   9,196/17,208 = 17,208/x
3. Step 3: Cross multiply
   9,196x = 17,208 × 17,208
4. Step 4: Simplify right side
   9,196x = 296,115,264
5. Step 5: Solve for x
   x = 296,115,264/9,196
6. Step 6: Final answer
   x = 32,200.44