Finding the Third Proportional to 886.50 and 1,296.56

Step by Step Solution

1. Step 1: Write the proportion equation
   886.50 : 1,296.56 = 1,296.56 : x
2. Step 2: Convert to fraction form
   886.50/1,296.56 = 1,296.56/x
3. Step 3: Cross multiply
   886.50x = 1,296.56 × 1,296.56
4. Step 4: Simplify right side
   886.50x = 1,681,074.32
5. Step 5: Solve for x
   x = 1,681,074.32/886.50
6. Step 6: Final answer
   x = 1,896.30