Finding the Third Proportional to 1,065.75 and 1,537.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,065.75 : 1,537.69 = 1,537.69 : x
2. Step 2: Convert to fraction form
   1,065.75/1,537.69 = 1,537.69/x
3. Step 3: Cross multiply
   1,065.75x = 1,537.69 × 1,537.69
4. Step 4: Simplify right side
   1,065.75x = 2,364,482.85
5. Step 5: Solve for x
   x = 2,364,482.85/1,065.75
6. Step 6: Final answer
   x = 2,218.61