Finding the Third Proportional to 2,255.34 and 3,412.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.34 : 3,412.13 = 3,412.13 : x
2. Step 2: Convert to fraction form
   2,255.34/3,412.13 = 3,412.13/x
3. Step 3: Cross multiply
   2,255.34x = 3,412.13 × 3,412.13
4. Step 4: Simplify right side
   2,255.34x = 11,642,597.02
5. Step 5: Solve for x
   x = 11,642,597.02/2,255.34
6. Step 6: Final answer
   x = 5,162.23