Finding the Third Proportional to 456.54 and 986.10

Step by Step Solution

1. Step 1: Write the proportion equation
   456.54 : 986.10 = 986.10 : x
2. Step 2: Convert to fraction form
   456.54/986.10 = 986.10/x
3. Step 3: Cross multiply
   456.54x = 986.10 × 986.10
4. Step 4: Simplify right side
   456.54x = 972,388.59
5. Step 5: Solve for x
   x = 972,388.59/456.54
6. Step 6: Final answer
   x = 2,129.91