Finding the Third Proportional to 595.69 and 1,213.31

Step by Step Solution

1. Step 1: Write the proportion equation
   595.69 : 1,213.31 = 1,213.31 : x
2. Step 2: Convert to fraction form
   595.69/1,213.31 = 1,213.31/x
3. Step 3: Cross multiply
   595.69x = 1,213.31 × 1,213.31
4. Step 4: Simplify right side
   595.69x = 1,472,127.22
5. Step 5: Solve for x
   x = 1,472,127.22/595.69
6. Step 6: Final answer
   x = 2,471.31