Finding the Third Proportional to 1,171 and 1,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171 : 1,827.50 = 1,827.50 : x
2. Step 2: Convert to fraction form
   1,171/1,827.50 = 1,827.50/x
3. Step 3: Cross multiply
   1,171x = 1,827.50 × 1,827.50
4. Step 4: Simplify right side
   1,171x = 3,339,756.25
5. Step 5: Solve for x
   x = 3,339,756.25/1,171
6. Step 6: Final answer
   x = 2,852.05