Finding the Third Proportional to 1,181.81 and 1,740.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,181.81 : 1,740.09 = 1,740.09 : x
2. Step 2: Convert to fraction form
   1,181.81/1,740.09 = 1,740.09/x
3. Step 3: Cross multiply
   1,181.81x = 1,740.09 × 1,740.09
4. Step 4: Simplify right side
   1,181.81x = 3,027,926.26
5. Step 5: Solve for x
   x = 3,027,926.26/1,181.81
6. Step 6: Final answer
   x = 2,562.10