Finding the Third Proportional to 1,624.50 and 2,153.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,624.50 : 2,153.25 = 2,153.25 : x
2. Step 2: Convert to fraction form
   1,624.50/2,153.25 = 2,153.25/x
3. Step 3: Cross multiply
   1,624.50x = 2,153.25 × 2,153.25
4. Step 4: Simplify right side
   1,624.50x = 4,636,485.56
5. Step 5: Solve for x
   x = 4,636,485.56/1,624.50
6. Step 6: Final answer
   x = 2,854.10