Finding the Third Proportional to 1,620.50 and 2,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,620.50 : 2,502.50 = 2,502.50 : x
2. Step 2: Convert to fraction form
   1,620.50/2,502.50 = 2,502.50/x
3. Step 3: Cross multiply
   1,620.50x = 2,502.50 × 2,502.50
4. Step 4: Simplify right side
   1,620.50x = 6,262,506.25
5. Step 5: Solve for x
   x = 6,262,506.25/1,620.50
6. Step 6: Final answer
   x = 3,864.55