Finding the Third Proportional to 7,840 and 18,256

Step by Step Solution

1. Step 1: Write the proportion equation
   7,840 : 18,256 = 18,256 : x
2. Step 2: Convert to fraction form
   7,840/18,256 = 18,256/x
3. Step 3: Cross multiply
   7,840x = 18,256 × 18,256
4. Step 4: Simplify right side
   7,840x = 333,281,536
5. Step 5: Solve for x
   x = 333,281,536/7,840
6. Step 6: Final answer
   x = 42,510.40