Finding the Third Proportional to 1,199.81 and 1,847.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,199.81 : 1,847.81 = 1,847.81 : x
2. Step 2: Convert to fraction form
   1,199.81/1,847.81 = 1,847.81/x
3. Step 3: Cross multiply
   1,199.81x = 1,847.81 × 1,847.81
4. Step 4: Simplify right side
   1,199.81x = 3,414,411.04
5. Step 5: Solve for x
   x = 3,414,411.04/1,199.81
6. Step 6: Final answer
   x = 2,845.79