Finding the Third Proportional to 2,109.16 and 4,624.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.16 : 4,624.59 = 4,624.59 : x
2. Step 2: Convert to fraction form
   2,109.16/4,624.59 = 4,624.59/x
3. Step 3: Cross multiply
   2,109.16x = 4,624.59 × 4,624.59
4. Step 4: Simplify right side
   2,109.16x = 21,386,867.35
5. Step 5: Solve for x
   x = 21,386,867.35/2,109.16
6. Step 6: Final answer
   x = 10,139.97