Finding the Third Proportional to 3,061.50 and 4,586.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,061.50 : 4,586.25 = 4,586.25 : x
2. Step 2: Convert to fraction form
   3,061.50/4,586.25 = 4,586.25/x
3. Step 3: Cross multiply
   3,061.50x = 4,586.25 × 4,586.25
4. Step 4: Simplify right side
   3,061.50x = 21,033,689.06
5. Step 5: Solve for x
   x = 21,033,689.06/3,061.50
6. Step 6: Final answer
   x = 6,870.39