Finding the Third Proportional to 2,002.50 and 3,030.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.50 : 3,030.75 = 3,030.75 : x
2. Step 2: Convert to fraction form
   2,002.50/3,030.75 = 3,030.75/x
3. Step 3: Cross multiply
   2,002.50x = 3,030.75 × 3,030.75
4. Step 4: Simplify right side
   2,002.50x = 9,185,445.56
5. Step 5: Solve for x
   x = 9,185,445.56/2,002.50
6. Step 6: Final answer
   x = 4,586.99