Finding the Third Proportional to 1,011.75 and 1,522.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.75 : 1,522.69 = 1,522.69 : x
2. Step 2: Convert to fraction form
   1,011.75/1,522.69 = 1,522.69/x
3. Step 3: Cross multiply
   1,011.75x = 1,522.69 × 1,522.69
4. Step 4: Simplify right side
   1,011.75x = 2,318,577.22
5. Step 5: Solve for x
   x = 2,318,577.22/1,011.75
6. Step 6: Final answer
   x = 2,291.65