Finding the Third Proportional to 2,242.69 and 4,878.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,242.69 : 4,878.56 = 4,878.56 : x
2. Step 2: Convert to fraction form
   2,242.69/4,878.56 = 4,878.56/x
3. Step 3: Cross multiply
   2,242.69x = 4,878.56 × 4,878.56
4. Step 4: Simplify right side
   2,242.69x = 23,800,372.07
5. Step 5: Solve for x
   x = 23,800,372.07/2,242.69
6. Step 6: Final answer
   x = 10,612.43