Finding the Third Proportional to 2,302 and 4,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302 : 4,983.50 = 4,983.50 : x
2. Step 2: Convert to fraction form
   2,302/4,983.50 = 4,983.50/x
3. Step 3: Cross multiply
   2,302x = 4,983.50 × 4,983.50
4. Step 4: Simplify right side
   2,302x = 24,835,272.25
5. Step 5: Solve for x
   x = 24,835,272.25/2,302
6. Step 6: Final answer
   x = 10,788.56