Finding the Third Proportional to 874 and 1,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   874 : 1,341.50 = 1,341.50 : x
2. Step 2: Convert to fraction form
   874/1,341.50 = 1,341.50/x
3. Step 3: Cross multiply
   874x = 1,341.50 × 1,341.50
4. Step 4: Simplify right side
   874x = 1,799,622.25
5. Step 5: Solve for x
   x = 1,799,622.25/874
6. Step 6: Final answer
   x = 2,059.06