Finding the Third Proportional to 976.69 and 1,562.06

Step by Step Solution

1. Step 1: Write the proportion equation
   976.69 : 1,562.06 = 1,562.06 : x
2. Step 2: Convert to fraction form
   976.69/1,562.06 = 1,562.06/x
3. Step 3: Cross multiply
   976.69x = 1,562.06 × 1,562.06
4. Step 4: Simplify right side
   976.69x = 2,440,039.25
5. Step 5: Solve for x
   x = 2,440,039.25/976.69
6. Step 6: Final answer
   x = 2,498.28