Finding the Third Proportional to 1,227.75 and 2,649.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,227.75 : 2,649.98 = 2,649.98 : x
2. Step 2: Convert to fraction form
   1,227.75/2,649.98 = 2,649.98/x
3. Step 3: Cross multiply
   1,227.75x = 2,649.98 × 2,649.98
4. Step 4: Simplify right side
   1,227.75x = 7,022,417.19
5. Step 5: Solve for x
   x = 7,022,417.19/1,227.75
6. Step 6: Final answer
   x = 5,719.75