Finding the Third Proportional to 879.50 and 1,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   879.50 : 1,265.50 = 1,265.50 : x
2. Step 2: Convert to fraction form
   879.50/1,265.50 = 1,265.50/x
3. Step 3: Cross multiply
   879.50x = 1,265.50 × 1,265.50
4. Step 4: Simplify right side
   879.50x = 1,601,490.25
5. Step 5: Solve for x
   x = 1,601,490.25/879.50
6. Step 6: Final answer
   x = 1,820.91