Finding the Third Proportional to 7,100 and 10,749

Step by Step Solution

1. Step 1: Write the proportion equation
   7,100 : 10,749 = 10,749 : x
2. Step 2: Convert to fraction form
   7,100/10,749 = 10,749/x
3. Step 3: Cross multiply
   7,100x = 10,749 × 10,749
4. Step 4: Simplify right side
   7,100x = 115,541,001
5. Step 5: Solve for x
   x = 115,541,001/7,100
6. Step 6: Final answer
   x = 16,273.38