Finding the Third Proportional to 9,564 and 14,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564 : 14,341.50 = 14,341.50 : x
2. Step 2: Convert to fraction form
   9,564/14,341.50 = 14,341.50/x
3. Step 3: Cross multiply
   9,564x = 14,341.50 × 14,341.50
4. Step 4: Simplify right side
   9,564x = 205,678,622.25
5. Step 5: Solve for x
   x = 205,678,622.25/9,564
6. Step 6: Final answer
   x = 21,505.50