Finding the Third Proportional to 15,200 and 37,486

Step by Step Solution

1. Step 1: Write the proportion equation
   15,200 : 37,486 = 37,486 : x
2. Step 2: Convert to fraction form
   15,200/37,486 = 37,486/x
3. Step 3: Cross multiply
   15,200x = 37,486 × 37,486
4. Step 4: Simplify right side
   15,200x = 1,405,200,196
5. Step 5: Solve for x
   x = 1,405,200,196/15,200
6. Step 6: Final answer
   x = 92,447.38