Finding the Third Proportional to 672.38 and 1,005.56

Step by Step Solution

1. Step 1: Write the proportion equation
   672.38 : 1,005.56 = 1,005.56 : x
2. Step 2: Convert to fraction form
   672.38/1,005.56 = 1,005.56/x
3. Step 3: Cross multiply
   672.38x = 1,005.56 × 1,005.56
4. Step 4: Simplify right side
   672.38x = 1,011,155.94
5. Step 5: Solve for x
   x = 1,011,155.94/672.38
6. Step 6: Final answer
   x = 1,503.86