Finding the Third Proportional to 2,176.45 and 4,746.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176.45 : 4,746.09 = 4,746.09 : x
2. Step 2: Convert to fraction form
   2,176.45/4,746.09 = 4,746.09/x
3. Step 3: Cross multiply
   2,176.45x = 4,746.09 × 4,746.09
4. Step 4: Simplify right side
   2,176.45x = 22,525,405.88
5. Step 5: Solve for x
   x = 22,525,405.88/2,176.45
6. Step 6: Final answer
   x = 10,349.59