Finding the Third Proportional to 2,777.63 and 3,886.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,777.63 : 3,886.31 = 3,886.31 : x
2. Step 2: Convert to fraction form
   2,777.63/3,886.31 = 3,886.31/x
3. Step 3: Cross multiply
   2,777.63x = 3,886.31 × 3,886.31
4. Step 4: Simplify right side
   2,777.63x = 15,103,424.85
5. Step 5: Solve for x
   x = 15,103,424.85/2,777.63
6. Step 6: Final answer
   x = 5,437.53