Finding the Third Proportional to 1,137.75 and 1,624.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,137.75 : 1,624.88 = 1,624.88 : x
2. Step 2: Convert to fraction form
   1,137.75/1,624.88 = 1,624.88/x
3. Step 3: Cross multiply
   1,137.75x = 1,624.88 × 1,624.88
4. Step 4: Simplify right side
   1,137.75x = 2,640,218.77
5. Step 5: Solve for x
   x = 2,640,218.77/1,137.75
6. Step 6: Final answer
   x = 2,320.56