Finding the Third Proportional to 686.94 and 1,422.56

Step by Step Solution

1. Step 1: Write the proportion equation
   686.94 : 1,422.56 = 1,422.56 : x
2. Step 2: Convert to fraction form
   686.94/1,422.56 = 1,422.56/x
3. Step 3: Cross multiply
   686.94x = 1,422.56 × 1,422.56
4. Step 4: Simplify right side
   686.94x = 2,023,684.07
5. Step 5: Solve for x
   x = 2,023,684.07/686.94
6. Step 6: Final answer
   x = 2,945.95