Finding the Third Proportional to 4,623.50 and 7,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,623.50 : 7,106.75 = 7,106.75 : x
2. Step 2: Convert to fraction form
   4,623.50/7,106.75 = 7,106.75/x
3. Step 3: Cross multiply
   4,623.50x = 7,106.75 × 7,106.75
4. Step 4: Simplify right side
   4,623.50x = 50,505,895.56
5. Step 5: Solve for x
   x = 50,505,895.56/4,623.50
6. Step 6: Final answer
   x = 10,923.74