Finding the Third Proportional to 973.27 and 1,509.89

Step by Step Solution

1. Step 1: Write the proportion equation
   973.27 : 1,509.89 = 1,509.89 : x
2. Step 2: Convert to fraction form
   973.27/1,509.89 = 1,509.89/x
3. Step 3: Cross multiply
   973.27x = 1,509.89 × 1,509.89
4. Step 4: Simplify right side
   973.27x = 2,279,769.70
5. Step 5: Solve for x
   x = 2,279,769.70/973.27
6. Step 6: Final answer
   x = 2,342.39