Finding the Third Proportional to 9,738 and 13,011

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 13,011 = 13,011 : x
2. Step 2: Convert to fraction form
   9,738/13,011 = 13,011/x
3. Step 3: Cross multiply
   9,738x = 13,011 × 13,011
4. Step 4: Simplify right side
   9,738x = 169,286,121
5. Step 5: Solve for x
   x = 169,286,121/9,738
6. Step 6: Final answer
   x = 17,384.07