Finding the Third Proportional to 2,169.94 and 4,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,169.94 : 4,669.50 = 4,669.50 : x
2. Step 2: Convert to fraction form
   2,169.94/4,669.50 = 4,669.50/x
3. Step 3: Cross multiply
   2,169.94x = 4,669.50 × 4,669.50
4. Step 4: Simplify right side
   2,169.94x = 21,804,230.25
5. Step 5: Solve for x
   x = 21,804,230.25/2,169.94
6. Step 6: Final answer
   x = 10,048.32