Finding the Third Proportional to 1,241.63 and 2,585.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,241.63 : 2,585.31 = 2,585.31 : x
2. Step 2: Convert to fraction form
   1,241.63/2,585.31 = 2,585.31/x
3. Step 3: Cross multiply
   1,241.63x = 2,585.31 × 2,585.31
4. Step 4: Simplify right side
   1,241.63x = 6,683,840.72
5. Step 5: Solve for x
   x = 6,683,840.72/1,241.63
6. Step 6: Final answer
   x = 5,383.14