Finding the Third Proportional to 1,090.50 and 2,424.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,090.50 : 2,424.56 = 2,424.56 : x
2. Step 2: Convert to fraction form
   1,090.50/2,424.56 = 2,424.56/x
3. Step 3: Cross multiply
   1,090.50x = 2,424.56 × 2,424.56
4. Step 4: Simplify right side
   1,090.50x = 5,878,503.32
5. Step 5: Solve for x
   x = 5,878,503.32/1,090.50
6. Step 6: Final answer
   x = 5,390.65