Finding the Third Proportional to 5,140 and 7,150

Step by Step Solution

1. Step 1: Write the proportion equation
   5,140 : 7,150 = 7,150 : x
2. Step 2: Convert to fraction form
   5,140/7,150 = 7,150/x
3. Step 3: Cross multiply
   5,140x = 7,150 × 7,150
4. Step 4: Simplify right side
   5,140x = 51,122,500
5. Step 5: Solve for x
   x = 51,122,500/5,140
6. Step 6: Final answer
   x = 9,946.01