Finding the Third Proportional to 7,540 and 10,958

Step by Step Solution

1. Step 1: Write the proportion equation
   7,540 : 10,958 = 10,958 : x
2. Step 2: Convert to fraction form
   7,540/10,958 = 10,958/x
3. Step 3: Cross multiply
   7,540x = 10,958 × 10,958
4. Step 4: Simplify right side
   7,540x = 120,077,764
5. Step 5: Solve for x
   x = 120,077,764/7,540
6. Step 6: Final answer
   x = 15,925.43