Finding the Third Proportional to 2,109.16 and 4,593.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.16 : 4,593.27 = 4,593.27 : x
2. Step 2: Convert to fraction form
   2,109.16/4,593.27 = 4,593.27/x
3. Step 3: Cross multiply
   2,109.16x = 4,593.27 × 4,593.27
4. Step 4: Simplify right side
   2,109.16x = 21,098,124.99
5. Step 5: Solve for x
   x = 21,098,124.99/2,109.16
6. Step 6: Final answer
   x = 10,003.07