Finding the Third Proportional to 7,856 and 18,500

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856 : 18,500 = 18,500 : x
2. Step 2: Convert to fraction form
   7,856/18,500 = 18,500/x
3. Step 3: Cross multiply
   7,856x = 18,500 × 18,500
4. Step 4: Simplify right side
   7,856x = 342,250,000
5. Step 5: Solve for x
   x = 342,250,000/7,856
6. Step 6: Final answer
   x = 43,565.43