Finding the Third Proportional to 2,072.25 and 4,478.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,072.25 : 4,478.63 = 4,478.63 : x
2. Step 2: Convert to fraction form
   2,072.25/4,478.63 = 4,478.63/x
3. Step 3: Cross multiply
   2,072.25x = 4,478.63 × 4,478.63
4. Step 4: Simplify right side
   2,072.25x = 20,058,081.89
5. Step 5: Solve for x
   x = 20,058,081.89/2,072.25
6. Step 6: Final answer
   x = 9,679.37