Finding the Third Proportional to 1,181.53 and 2,567.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.53 : 2,567.81 = 2,567.81 : x
2. Step 2: Convert to fraction form
   1,181.53/2,567.81 = 2,567.81/x
3. Step 3: Cross multiply
   1,181.53x = 2,567.81 × 2,567.81
4. Step 4: Simplify right side
   1,181.53x = 6,593,661.04
5. Step 5: Solve for x
   x = 6,593,661.04/1,181.53
6. Step 6: Final answer
   x = 5,580.61