Finding the Third Proportional to 12,747.38 and 19,688.63

Step by Step Solution

1. Step 1: Write the proportion equation
   12,747.38 : 19,688.63 = 19,688.63 : x
2. Step 2: Convert to fraction form
   12,747.38/19,688.63 = 19,688.63/x
3. Step 3: Cross multiply
   12,747.38x = 19,688.63 × 19,688.63
4. Step 4: Simplify right side
   12,747.38x = 387,641,954.39
5. Step 5: Solve for x
   x = 387,641,954.39/12,747.38
6. Step 6: Final answer
   x = 30,409.55