Finding the Third Proportional to 699.26 and 1,086.86

Step by Step Solution

1. Step 1: Write the proportion equation
   699.26 : 1,086.86 = 1,086.86 : x
2. Step 2: Convert to fraction form
   699.26/1,086.86 = 1,086.86/x
3. Step 3: Cross multiply
   699.26x = 1,086.86 × 1,086.86
4. Step 4: Simplify right side
   699.26x = 1,181,254.81
5. Step 5: Solve for x
   x = 1,181,254.81/699.26
6. Step 6: Final answer
   x = 1,689.30