Finding the Third Proportional to 6,586.50 and 10,074

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586.50 : 10,074 = 10,074 : x
2. Step 2: Convert to fraction form
   6,586.50/10,074 = 10,074/x
3. Step 3: Cross multiply
   6,586.50x = 10,074 × 10,074
4. Step 4: Simplify right side
   6,586.50x = 101,485,476
5. Step 5: Solve for x
   x = 101,485,476/6,586.50
6. Step 6: Final answer
   x = 15,408.10