Finding the Third Proportional to 1,624 and 2,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,624 : 2,456.50 = 2,456.50 : x
2. Step 2: Convert to fraction form
   1,624/2,456.50 = 2,456.50/x
3. Step 3: Cross multiply
   1,624x = 2,456.50 × 2,456.50
4. Step 4: Simplify right side
   1,624x = 6,034,392.25
5. Step 5: Solve for x
   x = 6,034,392.25/1,624
6. Step 6: Final answer
   x = 3,715.76