Finding the Third Proportional to 2,004.38 and 2,945.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.38 : 2,945.63 = 2,945.63 : x
2. Step 2: Convert to fraction form
   2,004.38/2,945.63 = 2,945.63/x
3. Step 3: Cross multiply
   2,004.38x = 2,945.63 × 2,945.63
4. Step 4: Simplify right side
   2,004.38x = 8,676,706.64
5. Step 5: Solve for x
   x = 8,676,706.64/2,004.38
6. Step 6: Final answer
   x = 4,328.88