Finding the Third Proportional to 2,477.78 and 3,523.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477.78 : 3,523.03 = 3,523.03 : x
2. Step 2: Convert to fraction form
   2,477.78/3,523.03 = 3,523.03/x
3. Step 3: Cross multiply
   2,477.78x = 3,523.03 × 3,523.03
4. Step 4: Simplify right side
   2,477.78x = 12,411,707.90
5. Step 5: Solve for x
   x = 12,411,707.90/2,477.78
6. Step 6: Final answer
   x = 5,009.21