Finding the Third Proportional to 411.75 and 869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 869.50 = 869.50 : x
2. Step 2: Convert to fraction form
   411.75/869.50 = 869.50/x
3. Step 3: Cross multiply
   411.75x = 869.50 × 869.50
4. Step 4: Simplify right side
   411.75x = 756,030.25
5. Step 5: Solve for x
   x = 756,030.25/411.75
6. Step 6: Final answer
   x = 1,836.14