Finding the Third Proportional to 697.31 and 1,053.56

Step by Step Solution

1. Step 1: Write the proportion equation
   697.31 : 1,053.56 = 1,053.56 : x
2. Step 2: Convert to fraction form
   697.31/1,053.56 = 1,053.56/x
3. Step 3: Cross multiply
   697.31x = 1,053.56 × 1,053.56
4. Step 4: Simplify right side
   697.31x = 1,109,993.94
5. Step 5: Solve for x
   x = 1,109,993.94/697.31
6. Step 6: Final answer
   x = 1,591.82