Finding the Third Proportional to 2,477.25 and 2,858.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.25 : 2,858.63 = 2,858.63 : x
2. Step 2: Convert to fraction form
   2,477.25/2,858.63 = 2,858.63/x
3. Step 3: Cross multiply
   2,477.25x = 2,858.63 × 2,858.63
4. Step 4: Simplify right side
   2,477.25x = 8,171,736.89
5. Step 5: Solve for x
   x = 8,171,736.89/2,477.25
6. Step 6: Final answer
   x = 3,298.71