Finding the Third Proportional to 699.89 and 1,029.59

Step by Step Solution

1. Step 1: Write the proportion equation
   699.89 : 1,029.59 = 1,029.59 : x
2. Step 2: Convert to fraction form
   699.89/1,029.59 = 1,029.59/x
3. Step 3: Cross multiply
   699.89x = 1,029.59 × 1,029.59
4. Step 4: Simplify right side
   699.89x = 1,060,047.20
5. Step 5: Solve for x
   x = 1,060,047.20/699.89
6. Step 6: Final answer
   x = 1,514.59