Finding the Third Proportional to 909.56 and 1,269.56

Step by Step Solution

1. Step 1: Write the proportion equation
   909.56 : 1,269.56 = 1,269.56 : x
2. Step 2: Convert to fraction form
   909.56/1,269.56 = 1,269.56/x
3. Step 3: Cross multiply
   909.56x = 1,269.56 × 1,269.56
4. Step 4: Simplify right side
   909.56x = 1,611,788.94
5. Step 5: Solve for x
   x = 1,611,788.94/909.56
6. Step 6: Final answer
   x = 1,772.05