Finding the Third Proportional to 2,181.38 and 4,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,181.38 : 4,778.25 = 4,778.25 : x
2. Step 2: Convert to fraction form
   2,181.38/4,778.25 = 4,778.25/x
3. Step 3: Cross multiply
   2,181.38x = 4,778.25 × 4,778.25
4. Step 4: Simplify right side
   2,181.38x = 22,831,673.06
5. Step 5: Solve for x
   x = 22,831,673.06/2,181.38
6. Step 6: Final answer
   x = 10,466.64