Finding the Third Proportional to 704.81 and 1,026.56

Step by Step Solution

1. Step 1: Write the proportion equation
   704.81 : 1,026.56 = 1,026.56 : x
2. Step 2: Convert to fraction form
   704.81/1,026.56 = 1,026.56/x
3. Step 3: Cross multiply
   704.81x = 1,026.56 × 1,026.56
4. Step 4: Simplify right side
   704.81x = 1,053,830.57
5. Step 5: Solve for x
   x = 1,053,830.57/704.81
6. Step 6: Final answer
   x = 1,495.19