Finding the Third Proportional to 2,531.63 and 3,787.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,531.63 : 3,787.31 = 3,787.31 : x
2. Step 2: Convert to fraction form
   2,531.63/3,787.31 = 3,787.31/x
3. Step 3: Cross multiply
   2,531.63x = 3,787.31 × 3,787.31
4. Step 4: Simplify right side
   2,531.63x = 14,343,735.97
5. Step 5: Solve for x
   x = 14,343,735.97/2,531.63
6. Step 6: Final answer
   x = 5,665.82