Finding the Third Proportional to 2,278.50 and 4,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,278.50 : 4,906.25 = 4,906.25 : x
2. Step 2: Convert to fraction form
   2,278.50/4,906.25 = 4,906.25/x
3. Step 3: Cross multiply
   2,278.50x = 4,906.25 × 4,906.25
4. Step 4: Simplify right side
   2,278.50x = 24,071,289.06
5. Step 5: Solve for x
   x = 24,071,289.06/2,278.50
6. Step 6: Final answer
   x = 10,564.53