Finding the Third Proportional to 2,062.50 and 4,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,062.50 : 4,585.25 = 4,585.25 : x
2. Step 2: Convert to fraction form
   2,062.50/4,585.25 = 4,585.25/x
3. Step 3: Cross multiply
   2,062.50x = 4,585.25 × 4,585.25
4. Step 4: Simplify right side
   2,062.50x = 21,024,517.56
5. Step 5: Solve for x
   x = 21,024,517.56/2,062.50
6. Step 6: Final answer
   x = 10,193.71