Finding the Third Proportional to 1,849.55 and 4,365.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.55 : 4,365.46 = 4,365.46 : x
2. Step 2: Convert to fraction form
   1,849.55/4,365.46 = 4,365.46/x
3. Step 3: Cross multiply
   1,849.55x = 4,365.46 × 4,365.46
4. Step 4: Simplify right side
   1,849.55x = 19,057,215.09
5. Step 5: Solve for x
   x = 19,057,215.09/1,849.55
6. Step 6: Final answer
   x = 10,303.69