Finding the Third Proportional to 9,564 and 12,886.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 12,886.50 = 12,886.50 : x
2. Step 2: Convert to fraction form
   9,564/12,886.50 = 12,886.50/x
3. Step 3: Cross multiply
   9,564x = 12,886.50 × 12,886.50
4. Step 4: Simplify right side
   9,564x = 166,061,882.25
5. Step 5: Solve for x
   x = 166,061,882.25/9,564
6. Step 6: Final answer
   x = 17,363.22