Finding the Third Proportional to 1,171.69 and 1,855.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.69 : 1,855.13 = 1,855.13 : x
2. Step 2: Convert to fraction form
   1,171.69/1,855.13 = 1,855.13/x
3. Step 3: Cross multiply
   1,171.69x = 1,855.13 × 1,855.13
4. Step 4: Simplify right side
   1,171.69x = 3,441,488.77
5. Step 5: Solve for x
   x = 3,441,488.77/1,171.69
6. Step 6: Final answer
   x = 2,937.21