Finding the Third Proportional to 1,014.75 and 1,531.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.75 : 1,531.69 = 1,531.69 : x
2. Step 2: Convert to fraction form
   1,014.75/1,531.69 = 1,531.69/x
3. Step 3: Cross multiply
   1,014.75x = 1,531.69 × 1,531.69
4. Step 4: Simplify right side
   1,014.75x = 2,346,066.60
5. Step 5: Solve for x
   x = 2,346,066.60/1,014.75
6. Step 6: Final answer
   x = 2,311.97