Finding the Third Proportional to 2,189.53 and 2,412.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,189.53 : 2,412.28 = 2,412.28 : x
2. Step 2: Convert to fraction form
   2,189.53/2,412.28 = 2,412.28/x
3. Step 3: Cross multiply
   2,189.53x = 2,412.28 × 2,412.28
4. Step 4: Simplify right side
   2,189.53x = 5,819,100.83
5. Step 5: Solve for x
   x = 5,819,100.83/2,189.53
6. Step 6: Final answer
   x = 2,657.69