Finding the Third Proportional to 2,142 and 4,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142 : 4,633.50 = 4,633.50 : x
2. Step 2: Convert to fraction form
   2,142/4,633.50 = 4,633.50/x
3. Step 3: Cross multiply
   2,142x = 4,633.50 × 4,633.50
4. Step 4: Simplify right side
   2,142x = 21,469,322.25
5. Step 5: Solve for x
   x = 21,469,322.25/2,142
6. Step 6: Final answer
   x = 10,023.03