Finding the Third Proportional to 2,105.63 and 3,184.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.63 : 3,184.88 = 3,184.88 : x
2. Step 2: Convert to fraction form
   2,105.63/3,184.88 = 3,184.88/x
3. Step 3: Cross multiply
   2,105.63x = 3,184.88 × 3,184.88
4. Step 4: Simplify right side
   2,105.63x = 10,143,428.77
5. Step 5: Solve for x
   x = 10,143,428.77/2,105.63
6. Step 6: Final answer
   x = 4,817.30