Finding the Third Proportional to 2,106.75 and 4,609.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106.75 : 4,609.50 = 4,609.50 : x
2. Step 2: Convert to fraction form
   2,106.75/4,609.50 = 4,609.50/x
3. Step 3: Cross multiply
   2,106.75x = 4,609.50 × 4,609.50
4. Step 4: Simplify right side
   2,106.75x = 21,247,490.25
5. Step 5: Solve for x
   x = 21,247,490.25/2,106.75
6. Step 6: Final answer
   x = 10,085.44