Finding the Third Proportional to 15,900 and 37,536

Step by Step Solution

1. Step 1: Write the proportion equation
   15,900 : 37,536 = 37,536 : x
2. Step 2: Convert to fraction form
   15,900/37,536 = 37,536/x
3. Step 3: Cross multiply
   15,900x = 37,536 × 37,536
4. Step 4: Simplify right side
   15,900x = 1,408,951,296
5. Step 5: Solve for x
   x = 1,408,951,296/15,900
6. Step 6: Final answer
   x = 88,613.29