Finding the Third Proportional to 1,285.88 and 2,662.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,285.88 : 2,662.59 = 2,662.59 : x
2. Step 2: Convert to fraction form
   1,285.88/2,662.59 = 2,662.59/x
3. Step 3: Cross multiply
   1,285.88x = 2,662.59 × 2,662.59
4. Step 4: Simplify right side
   1,285.88x = 7,089,405.48
5. Step 5: Solve for x
   x = 7,089,405.48/1,285.88
6. Step 6: Final answer
   x = 5,513.29