Finding the Third Proportional to 15,196 and 23,442

Step by Step Solution

1. Step 1: Write the proportion equation
   15,196 : 23,442 = 23,442 : x
2. Step 2: Convert to fraction form
   15,196/23,442 = 23,442/x
3. Step 3: Cross multiply
   15,196x = 23,442 × 23,442
4. Step 4: Simplify right side
   15,196x = 549,527,364
5. Step 5: Solve for x
   x = 549,527,364/15,196
6. Step 6: Final answer
   x = 36,162.63