Finding the Third Proportional to 13,564 and 20,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,564 : 20,872.50 = 20,872.50 : x
2. Step 2: Convert to fraction form
   13,564/20,872.50 = 20,872.50/x
3. Step 3: Cross multiply
   13,564x = 20,872.50 × 20,872.50
4. Step 4: Simplify right side
   13,564x = 435,661,256.25
5. Step 5: Solve for x
   x = 435,661,256.25/13,564
6. Step 6: Final answer
   x = 32,118.94