Finding the Third Proportional to 1,171.81 and 1,816.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.81 : 1,816.80 = 1,816.80 : x
2. Step 2: Convert to fraction form
   1,171.81/1,816.80 = 1,816.80/x
3. Step 3: Cross multiply
   1,171.81x = 1,816.80 × 1,816.80
4. Step 4: Simplify right side
   1,171.81x = 3,300,779.27
5. Step 5: Solve for x
   x = 3,300,779.27/1,171.81
6. Step 6: Final answer
   x = 2,816.82