Finding the Third Proportional to 2,296 and 4,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296 : 4,899.50 = 4,899.50 : x
2. Step 2: Convert to fraction form
   2,296/4,899.50 = 4,899.50/x
3. Step 3: Cross multiply
   2,296x = 4,899.50 × 4,899.50
4. Step 4: Simplify right side
   2,296x = 24,005,100.25
5. Step 5: Solve for x
   x = 24,005,100.25/2,296
6. Step 6: Final answer
   x = 10,455.18