Finding the Third Proportional to 15,419 and 23,196

Step by Step Solution

1. Step 1: Write the proportion equation
   15,419 : 23,196 = 23,196 : x
2. Step 2: Convert to fraction form
   15,419/23,196 = 23,196/x
3. Step 3: Cross multiply
   15,419x = 23,196 × 23,196
4. Step 4: Simplify right side
   15,419x = 538,054,416
5. Step 5: Solve for x
   x = 538,054,416/15,419
6. Step 6: Final answer
   x = 34,895.55