Finding the Third Proportional to 7,814 and 18,443

Step by Step Solution

1. Step 1: Write the proportion equation
   7,814 : 18,443 = 18,443 : x
2. Step 2: Convert to fraction form
   7,814/18,443 = 18,443/x
3. Step 3: Cross multiply
   7,814x = 18,443 × 18,443
4. Step 4: Simplify right side
   7,814x = 340,144,249
5. Step 5: Solve for x
   x = 340,144,249/7,814
6. Step 6: Final answer
   x = 43,530.11