Finding the Third Proportional to 15,196 and 35,326

Step by Step Solution

1. Step 1: Write the proportion equation
   15,196 : 35,326 = 35,326 : x
2. Step 2: Convert to fraction form
   15,196/35,326 = 35,326/x
3. Step 3: Cross multiply
   15,196x = 35,326 × 35,326
4. Step 4: Simplify right side
   15,196x = 1,247,926,276
5. Step 5: Solve for x
   x = 1,247,926,276/15,196
6. Step 6: Final answer
   x = 82,122.02