Finding the Third Proportional to 969.38 and 1,298.63

Step by Step Solution

1. Step 1: Write the proportion equation
   969.38 : 1,298.63 = 1,298.63 : x
2. Step 2: Convert to fraction form
   969.38/1,298.63 = 1,298.63/x
3. Step 3: Cross multiply
   969.38x = 1,298.63 × 1,298.63
4. Step 4: Simplify right side
   969.38x = 1,686,426.89
5. Step 5: Solve for x
   x = 1,686,426.89/969.38
6. Step 6: Final answer
   x = 1,739.71