Finding the Third Proportional to 475.31 and 696.56

Step by Step Solution

1. Step 1: Write the proportion equation
   475.31 : 696.56 = 696.56 : x
2. Step 2: Convert to fraction form
   475.31/696.56 = 696.56/x
3. Step 3: Cross multiply
   475.31x = 696.56 × 696.56
4. Step 4: Simplify right side
   475.31x = 485,199.32
5. Step 5: Solve for x
   x = 485,199.32/475.31
6. Step 6: Final answer
   x = 1,020.80