Finding the Third Proportional to 1,405.41 and 2,062.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,405.41 : 2,062.55 = 2,062.55 : x
2. Step 2: Convert to fraction form
   1,405.41/2,062.55 = 2,062.55/x
3. Step 3: Cross multiply
   1,405.41x = 2,062.55 × 2,062.55
4. Step 4: Simplify right side
   1,405.41x = 4,254,099.61
5. Step 5: Solve for x
   x = 4,254,099.61/1,405.41
6. Step 6: Final answer
   x = 3,026.95