Finding the Third Proportional to 12,517.50 and 19,494.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,517.50 : 19,494.25 = 19,494.25 : x
2. Step 2: Convert to fraction form
   12,517.50/19,494.25 = 19,494.25/x
3. Step 3: Cross multiply
   12,517.50x = 19,494.25 × 19,494.25
4. Step 4: Simplify right side
   12,517.50x = 380,025,783.06
5. Step 5: Solve for x
   x = 380,025,783.06/12,517.50
6. Step 6: Final answer
   x = 30,359.56