Finding the Third Proportional to 1,949.25 and 3,002.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.25 : 3,002.63 = 3,002.63 : x
2. Step 2: Convert to fraction form
   1,949.25/3,002.63 = 3,002.63/x
3. Step 3: Cross multiply
   1,949.25x = 3,002.63 × 3,002.63
4. Step 4: Simplify right side
   1,949.25x = 9,015,756.89
5. Step 5: Solve for x
   x = 9,015,756.89/1,949.25
6. Step 6: Final answer
   x = 4,625.24