Finding the Third Proportional to 12,563.38 and 19,536.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,563.38 : 19,536.75 = 19,536.75 : x
2. Step 2: Convert to fraction form
   12,563.38/19,536.75 = 19,536.75/x
3. Step 3: Cross multiply
   12,563.38x = 19,536.75 × 19,536.75
4. Step 4: Simplify right side
   12,563.38x = 381,684,600.56
5. Step 5: Solve for x
   x = 381,684,600.56/12,563.38
6. Step 6: Final answer
   x = 30,380.74