Finding the Third Proportional to 15,536 and 37,096

Step by Step Solution

1. Step 1: Write the proportion equation
   15,536 : 37,096 = 37,096 : x
2. Step 2: Convert to fraction form
   15,536/37,096 = 37,096/x
3. Step 3: Cross multiply
   15,536x = 37,096 × 37,096
4. Step 4: Simplify right side
   15,536x = 1,376,113,216
5. Step 5: Solve for x
   x = 1,376,113,216/15,536
6. Step 6: Final answer
   x = 88,575.77