Finding the Third Proportional to 2,290.75 and 4,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,290.75 : 4,851.50 = 4,851.50 : x
2. Step 2: Convert to fraction form
   2,290.75/4,851.50 = 4,851.50/x
3. Step 3: Cross multiply
   2,290.75x = 4,851.50 × 4,851.50
4. Step 4: Simplify right side
   2,290.75x = 23,537,052.25
5. Step 5: Solve for x
   x = 23,537,052.25/2,290.75
6. Step 6: Final answer
   x = 10,274.82