Finding the Third Proportional to 2,557.83 and 3,893.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.83 : 3,893.06 = 3,893.06 : x
2. Step 2: Convert to fraction form
   2,557.83/3,893.06 = 3,893.06/x
3. Step 3: Cross multiply
   2,557.83x = 3,893.06 × 3,893.06
4. Step 4: Simplify right side
   2,557.83x = 15,155,935.63
5. Step 5: Solve for x
   x = 15,155,935.63/2,557.83
6. Step 6: Final answer
   x = 5,925.31