Finding the Third Proportional to 3,061 and 4,674.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,061 : 4,674.50 = 4,674.50 : x
2. Step 2: Convert to fraction form
   3,061/4,674.50 = 4,674.50/x
3. Step 3: Cross multiply
   3,061x = 4,674.50 × 4,674.50
4. Step 4: Simplify right side
   3,061x = 21,850,950.25
5. Step 5: Solve for x
   x = 21,850,950.25/3,061
6. Step 6: Final answer
   x = 7,138.50