Finding the Third Proportional to 12,564 and 16,672.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564 : 16,672.50 = 16,672.50 : x
2. Step 2: Convert to fraction form
   12,564/16,672.50 = 16,672.50/x
3. Step 3: Cross multiply
   12,564x = 16,672.50 × 16,672.50
4. Step 4: Simplify right side
   12,564x = 277,972,256.25
5. Step 5: Solve for x
   x = 277,972,256.25/12,564
6. Step 6: Final answer
   x = 22,124.50