Finding the Third Proportional to 1,011.38 and 1,602.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.38 : 1,602.56 = 1,602.56 : x
2. Step 2: Convert to fraction form
   1,011.38/1,602.56 = 1,602.56/x
3. Step 3: Cross multiply
   1,011.38x = 1,602.56 × 1,602.56
4. Step 4: Simplify right side
   1,011.38x = 2,568,206.57
5. Step 5: Solve for x
   x = 2,568,206.57/1,011.38
6. Step 6: Final answer
   x = 2,539.32