Finding the Third Proportional to 12,564 and 19,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564 : 19,006.50 = 19,006.50 : x
2. Step 2: Convert to fraction form
   12,564/19,006.50 = 19,006.50/x
3. Step 3: Cross multiply
   12,564x = 19,006.50 × 19,006.50
4. Step 4: Simplify right side
   12,564x = 361,247,042.25
5. Step 5: Solve for x
   x = 361,247,042.25/12,564
6. Step 6: Final answer
   x = 28,752.55