Finding the Third Proportional to 2,130 and 4,667

Step by Step Solution

1. Step 1: Write the proportion equation
   2,130 : 4,667 = 4,667 : x
2. Step 2: Convert to fraction form
   2,130/4,667 = 4,667/x
3. Step 3: Cross multiply
   2,130x = 4,667 × 4,667
4. Step 4: Simplify right side
   2,130x = 21,780,889
5. Step 5: Solve for x
   x = 21,780,889/2,130
6. Step 6: Final answer
   x = 10,225.77