Finding the Third Proportional to 709.88 and 1,041.82

Step by Step Solution

1. Step 1: Write the proportion equation
   709.88 : 1,041.82 = 1,041.82 : x
2. Step 2: Convert to fraction form
   709.88/1,041.82 = 1,041.82/x
3. Step 3: Cross multiply
   709.88x = 1,041.82 × 1,041.82
4. Step 4: Simplify right side
   709.88x = 1,085,389.56
5. Step 5: Solve for x
   x = 1,085,389.56/709.88
6. Step 6: Final answer
   x = 1,528.99