Finding the Third Proportional to 1,209.46 and 2,649.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,209.46 : 2,649.43 = 2,649.43 : x
2. Step 2: Convert to fraction form
   1,209.46/2,649.43 = 2,649.43/x
3. Step 3: Cross multiply
   1,209.46x = 2,649.43 × 2,649.43
4. Step 4: Simplify right side
   1,209.46x = 7,019,467.32
5. Step 5: Solve for x
   x = 7,019,467.32/1,209.46
6. Step 6: Final answer
   x = 5,803.79