Finding the Third Proportional to 2,148 and 3,184.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,148 : 3,184.50 = 3,184.50 : x
2. Step 2: Convert to fraction form
   2,148/3,184.50 = 3,184.50/x
3. Step 3: Cross multiply
   2,148x = 3,184.50 × 3,184.50
4. Step 4: Simplify right side
   2,148x = 10,141,040.25
5. Step 5: Solve for x
   x = 10,141,040.25/2,148
6. Step 6: Final answer
   x = 4,721.15