Finding the Third Proportional to 1,334 and 2,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,334 : 2,823.50 = 2,823.50 : x
2. Step 2: Convert to fraction form
   1,334/2,823.50 = 2,823.50/x
3. Step 3: Cross multiply
   1,334x = 2,823.50 × 2,823.50
4. Step 4: Simplify right side
   1,334x = 7,972,152.25
5. Step 5: Solve for x
   x = 7,972,152.25/1,334
6. Step 6: Final answer
   x = 5,976.13