Finding the Third Proportional to 9,138 and 13,749

Step by Step Solution

1. Step 1: Write the proportion equation
   9,138 : 13,749 = 13,749 : x
2. Step 2: Convert to fraction form
   9,138/13,749 = 13,749/x
3. Step 3: Cross multiply
   9,138x = 13,749 × 13,749
4. Step 4: Simplify right side
   9,138x = 189,035,001
5. Step 5: Solve for x
   x = 189,035,001/9,138
6. Step 6: Final answer
   x = 20,686.69