Finding the Third Proportional to 805.69 and 1,072.88

Step by Step Solution

1. Step 1: Write the proportion equation
   805.69 : 1,072.88 = 1,072.88 : x
2. Step 2: Convert to fraction form
   805.69/1,072.88 = 1,072.88/x
3. Step 3: Cross multiply
   805.69x = 1,072.88 × 1,072.88
4. Step 4: Simplify right side
   805.69x = 1,151,060.77
5. Step 5: Solve for x
   x = 1,151,060.77/805.69
6. Step 6: Final answer
   x = 1,428.67