Finding the Third Proportional to 675.38 and 1,047.56

Step by Step Solution

1. Step 1: Write the proportion equation
   675.38 : 1,047.56 = 1,047.56 : x
2. Step 2: Convert to fraction form
   675.38/1,047.56 = 1,047.56/x
3. Step 3: Cross multiply
   675.38x = 1,047.56 × 1,047.56
4. Step 4: Simplify right side
   675.38x = 1,097,387.19
5. Step 5: Solve for x
   x = 1,097,387.19/675.38
6. Step 6: Final answer
   x = 1,624.86