Finding the Third Proportional to 1,014.56 and 1,532.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.56 : 1,532.81 = 1,532.81 : x
2. Step 2: Convert to fraction form
   1,014.56/1,532.81 = 1,532.81/x
3. Step 3: Cross multiply
   1,014.56x = 1,532.81 × 1,532.81
4. Step 4: Simplify right side
   1,014.56x = 2,349,514.16
5. Step 5: Solve for x
   x = 2,349,514.16/1,014.56
6. Step 6: Final answer
   x = 2,315.79