Finding the Third Proportional to 9,712 and 10,540

Step by Step Solution

1. Step 1: Write the proportion equation
   9,712 : 10,540 = 10,540 : x
2. Step 2: Convert to fraction form
   9,712/10,540 = 10,540/x
3. Step 3: Cross multiply
   9,712x = 10,540 × 10,540
4. Step 4: Simplify right side
   9,712x = 111,091,600
5. Step 5: Solve for x
   x = 111,091,600/9,712
6. Step 6: Final answer
   x = 11,438.59