Finding the Third Proportional to 12,564 and 19,559.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564 : 19,559.25 = 19,559.25 : x
2. Step 2: Convert to fraction form
   12,564/19,559.25 = 19,559.25/x
3. Step 3: Cross multiply
   12,564x = 19,559.25 × 19,559.25
4. Step 4: Simplify right side
   12,564x = 382,564,260.56
5. Step 5: Solve for x
   x = 382,564,260.56/12,564
6. Step 6: Final answer
   x = 30,449.24