Finding the Third Proportional to 1,199.81 and 1,845.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.81 : 1,845.28 = 1,845.28 : x
2. Step 2: Convert to fraction form
   1,199.81/1,845.28 = 1,845.28/x
3. Step 3: Cross multiply
   1,199.81x = 1,845.28 × 1,845.28
4. Step 4: Simplify right side
   1,199.81x = 3,405,062.89
5. Step 5: Solve for x
   x = 3,405,062.89/1,199.81
6. Step 6: Final answer
   x = 2,838.00