Finding the Third Proportional to 6,144 and 7,900

Step by Step Solution

1. Step 1: Write the proportion equation
   6,144 : 7,900 = 7,900 : x
2. Step 2: Convert to fraction form
   6,144/7,900 = 7,900/x
3. Step 3: Cross multiply
   6,144x = 7,900 × 7,900
4. Step 4: Simplify right side
   6,144x = 62,410,000
5. Step 5: Solve for x
   x = 62,410,000/6,144
6. Step 6: Final answer
   x = 10,157.88