Finding the Third Proportional to 6,576 and 10,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,576 : 10,531.50 = 10,531.50 : x
2. Step 2: Convert to fraction form
   6,576/10,531.50 = 10,531.50/x
3. Step 3: Cross multiply
   6,576x = 10,531.50 × 10,531.50
4. Step 4: Simplify right side
   6,576x = 110,912,492.25
5. Step 5: Solve for x
   x = 110,912,492.25/6,576
6. Step 6: Final answer
   x = 16,866.25