Finding the Third Proportional to 2,725.88 and 3,681.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,725.88 : 3,681.56 = 3,681.56 : x
2. Step 2: Convert to fraction form
   2,725.88/3,681.56 = 3,681.56/x
3. Step 3: Cross multiply
   2,725.88x = 3,681.56 × 3,681.56
4. Step 4: Simplify right side
   2,725.88x = 13,553,902.44
5. Step 5: Solve for x
   x = 13,553,902.44/2,725.88
6. Step 6: Final answer
   x = 4,972.31