Finding the Third Proportional to 2,302.80 and 4,906.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302.80 : 4,906.83 = 4,906.83 : x
2. Step 2: Convert to fraction form
   2,302.80/4,906.83 = 4,906.83/x
3. Step 3: Cross multiply
   2,302.80x = 4,906.83 × 4,906.83
4. Step 4: Simplify right side
   2,302.80x = 24,076,962.25
5. Step 5: Solve for x
   x = 24,076,962.25/2,302.80
6. Step 6: Final answer
   x = 10,455.49