Finding the Third Proportional to 3,109.50 and 4,730.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.50 : 4,730.63 = 4,730.63 : x
2. Step 2: Convert to fraction form
   3,109.50/4,730.63 = 4,730.63/x
3. Step 3: Cross multiply
   3,109.50x = 4,730.63 × 4,730.63
4. Step 4: Simplify right side
   3,109.50x = 22,378,812.89
5. Step 5: Solve for x
   x = 22,378,812.89/3,109.50
6. Step 6: Final answer
   x = 7,196.92