Finding the Third Proportional to 2,529.56 and 3,938.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,529.56 : 3,938.63 = 3,938.63 : x
2. Step 2: Convert to fraction form
   2,529.56/3,938.63 = 3,938.63/x
3. Step 3: Cross multiply
   2,529.56x = 3,938.63 × 3,938.63
4. Step 4: Simplify right side
   2,529.56x = 15,512,766.89
5. Step 5: Solve for x
   x = 15,512,766.89/2,529.56
6. Step 6: Final answer
   x = 6,132.59