Finding the Third Proportional to 6,564 and 13,681.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,564 : 13,681.50 = 13,681.50 : x
2. Step 2: Convert to fraction form
   6,564/13,681.50 = 13,681.50/x
3. Step 3: Cross multiply
   6,564x = 13,681.50 × 13,681.50
4. Step 4: Simplify right side
   6,564x = 187,183,442.25
5. Step 5: Solve for x
   x = 187,183,442.25/6,564
6. Step 6: Final answer
   x = 28,516.67