Finding the Third Proportional to 689.25 and 1,499.81

Step by Step Solution

1. Step 1: Write the proportion equation
   689.25 : 1,499.81 = 1,499.81 : x
2. Step 2: Convert to fraction form
   689.25/1,499.81 = 1,499.81/x
3. Step 3: Cross multiply
   689.25x = 1,499.81 × 1,499.81
4. Step 4: Simplify right side
   689.25x = 2,249,437.54
5. Step 5: Solve for x
   x = 2,249,437.54/689.25
6. Step 6: Final answer
   x = 3,263.60