Finding the Third Proportional to 761.91 and 1,019.46

Step by Step Solution

1. Step 1: Write the proportion equation
   761.91 : 1,019.46 = 1,019.46 : x
2. Step 2: Convert to fraction form
   761.91/1,019.46 = 1,019.46/x
3. Step 3: Cross multiply
   761.91x = 1,019.46 × 1,019.46
4. Step 4: Simplify right side
   761.91x = 1,039,300.60
5. Step 5: Solve for x
   x = 1,039,300.60/761.91
6. Step 6: Final answer
   x = 1,364.08