Finding the Third Proportional to 7,856 and 12,262

Step by Step Solution

1. Step 1: Write the proportion equation
   7,856 : 12,262 = 12,262 : x
2. Step 2: Convert to fraction form
   7,856/12,262 = 12,262/x
3. Step 3: Cross multiply
   7,856x = 12,262 × 12,262
4. Step 4: Simplify right side
   7,856x = 150,356,644
5. Step 5: Solve for x
   x = 150,356,644/7,856
6. Step 6: Final answer
   x = 19,139.08