Finding the Third Proportional to 15,780 and 37,162

Step by Step Solution

1. Step 1: Write the proportion equation
   15,780 : 37,162 = 37,162 : x
2. Step 2: Convert to fraction form
   15,780/37,162 = 37,162/x
3. Step 3: Cross multiply
   15,780x = 37,162 × 37,162
4. Step 4: Simplify right side
   15,780x = 1,381,014,244
5. Step 5: Solve for x
   x = 1,381,014,244/15,780
6. Step 6: Final answer
   x = 87,516.75