Finding the Third Proportional to 976.50 and 1,534.69

Step by Step Solution

1. Step 1: Write the proportion equation
   976.50 : 1,534.69 = 1,534.69 : x
2. Step 2: Convert to fraction form
   976.50/1,534.69 = 1,534.69/x
3. Step 3: Cross multiply
   976.50x = 1,534.69 × 1,534.69
4. Step 4: Simplify right side
   976.50x = 2,355,265.72
5. Step 5: Solve for x
   x = 2,355,265.72/976.50
6. Step 6: Final answer
   x = 2,411.95