Finding the Third Proportional to 830.25 and 1,260.56

Step by Step Solution

1. Step 1: Write the proportion equation
   830.25 : 1,260.56 = 1,260.56 : x
2. Step 2: Convert to fraction form
   830.25/1,260.56 = 1,260.56/x
3. Step 3: Cross multiply
   830.25x = 1,260.56 × 1,260.56
4. Step 4: Simplify right side
   830.25x = 1,589,017.82
5. Step 5: Solve for x
   x = 1,589,017.82/830.25
6. Step 6: Final answer
   x = 1,913.90