Finding the Third Proportional to 4,784.06 and 7,667.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,784.06 : 7,667.31 = 7,667.31 : x
2. Step 2: Convert to fraction form
   4,784.06/7,667.31 = 7,667.31/x
3. Step 3: Cross multiply
   4,784.06x = 7,667.31 × 7,667.31
4. Step 4: Simplify right side
   4,784.06x = 58,787,710.92
5. Step 5: Solve for x
   x = 58,787,710.92/4,784.06
6. Step 6: Final answer
   x = 12,288.24