Finding the Third Proportional to 12,742.31 and 19,667.81

Step by Step Solution

1. Step 1: Write the proportion equation
   12,742.31 : 19,667.81 = 19,667.81 : x
2. Step 2: Convert to fraction form
   12,742.31/19,667.81 = 19,667.81/x
3. Step 3: Cross multiply
   12,742.31x = 19,667.81 × 19,667.81
4. Step 4: Simplify right side
   12,742.31x = 386,822,848.54
5. Step 5: Solve for x
   x = 386,822,848.54/12,742.31
6. Step 6: Final answer
   x = 30,357.35