Finding the Third Proportional to 1,849.50 and 4,261.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.50 : 4,261.78 = 4,261.78 : x
2. Step 2: Convert to fraction form
   1,849.50/4,261.78 = 4,261.78/x
3. Step 3: Cross multiply
   1,849.50x = 4,261.78 × 4,261.78
4. Step 4: Simplify right side
   1,849.50x = 18,162,779.42
5. Step 5: Solve for x
   x = 18,162,779.42/1,849.50
6. Step 6: Final answer
   x = 9,820.37