Finding the Third Proportional to 2,264.84 and 4,864.43

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.84 : 4,864.43 = 4,864.43 : x
2. Step 2: Convert to fraction form
   2,264.84/4,864.43 = 4,864.43/x
3. Step 3: Cross multiply
   2,264.84x = 4,864.43 × 4,864.43
4. Step 4: Simplify right side
   2,264.84x = 23,662,676.18
5. Step 5: Solve for x
   x = 23,662,676.18/2,264.84
6. Step 6: Final answer
   x = 10,447.85