Finding the Third Proportional to 2,103.75 and 4,964.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,103.75 : 4,964.06 = 4,964.06 : x
2. Step 2: Convert to fraction form
   2,103.75/4,964.06 = 4,964.06/x
3. Step 3: Cross multiply
   2,103.75x = 4,964.06 × 4,964.06
4. Step 4: Simplify right side
   2,103.75x = 24,641,916.50
5. Step 5: Solve for x
   x = 24,641,916.50/2,103.75
6. Step 6: Final answer
   x = 11,713.33