Finding the Third Proportional to 9,234 and 13,814

Step by Step Solution

1. Step 1: Write the proportion equation
   9,234 : 13,814 = 13,814 : x
2. Step 2: Convert to fraction form
   9,234/13,814 = 13,814/x
3. Step 3: Cross multiply
   9,234x = 13,814 × 13,814
4. Step 4: Simplify right side
   9,234x = 190,826,596
5. Step 5: Solve for x
   x = 190,826,596/9,234
6. Step 6: Final answer
   x = 20,665.65