Finding the Third Proportional to 6,586.50 and 10,047

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586.50 : 10,047 = 10,047 : x
2. Step 2: Convert to fraction form
   6,586.50/10,047 = 10,047/x
3. Step 3: Cross multiply
   6,586.50x = 10,047 × 10,047
4. Step 4: Simplify right side
   6,586.50x = 100,942,209
5. Step 5: Solve for x
   x = 100,942,209/6,586.50
6. Step 6: Final answer
   x = 15,325.62