Finding the Third Proportional to 680.06 and 1,054.27

Step by Step Solution

1. Step 1: Write the proportion equation
   680.06 : 1,054.27 = 1,054.27 : x
2. Step 2: Convert to fraction form
   680.06/1,054.27 = 1,054.27/x
3. Step 3: Cross multiply
   680.06x = 1,054.27 × 1,054.27
4. Step 4: Simplify right side
   680.06x = 1,111,476.01
5. Step 5: Solve for x
   x = 1,111,476.01/680.06
6. Step 6: Final answer
   x = 1,634.37