Finding the Third Proportional to 1,949.50 and 3,026.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.50 : 3,026.75 = 3,026.75 : x
2. Step 2: Convert to fraction form
   1,949.50/3,026.75 = 3,026.75/x
3. Step 3: Cross multiply
   1,949.50x = 3,026.75 × 3,026.75
4. Step 4: Simplify right side
   1,949.50x = 9,161,215.56
5. Step 5: Solve for x
   x = 9,161,215.56/1,949.50
6. Step 6: Final answer
   x = 4,699.26