Finding the Third Proportional to 2,132.89 and 4,667.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.89 : 4,667.31 = 4,667.31 : x
2. Step 2: Convert to fraction form
   2,132.89/4,667.31 = 4,667.31/x
3. Step 3: Cross multiply
   2,132.89x = 4,667.31 × 4,667.31
4. Step 4: Simplify right side
   2,132.89x = 21,783,769.51
5. Step 5: Solve for x
   x = 21,783,769.51/2,132.89
6. Step 6: Final answer
   x = 10,213.24