Finding the Third Proportional to 12,471.75 and 19,743.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,471.75 : 19,743.75 = 19,743.75 : x
2. Step 2: Convert to fraction form
   12,471.75/19,743.75 = 19,743.75/x
3. Step 3: Cross multiply
   12,471.75x = 19,743.75 × 19,743.75
4. Step 4: Simplify right side
   12,471.75x = 389,815,664.06
5. Step 5: Solve for x
   x = 389,815,664.06/12,471.75
6. Step 6: Final answer
   x = 31,255.89