Finding the Third Proportional to 2,146 and 4,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146 : 4,656.50 = 4,656.50 : x
2. Step 2: Convert to fraction form
   2,146/4,656.50 = 4,656.50/x
3. Step 3: Cross multiply
   2,146x = 4,656.50 × 4,656.50
4. Step 4: Simplify right side
   2,146x = 21,682,992.25
5. Step 5: Solve for x
   x = 21,682,992.25/2,146
6. Step 6: Final answer
   x = 10,103.91