Finding the Third Proportional to 4,780 and 10,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,780 : 10,329.50 = 10,329.50 : x
2. Step 2: Convert to fraction form
   4,780/10,329.50 = 10,329.50/x
3. Step 3: Cross multiply
   4,780x = 10,329.50 × 10,329.50
4. Step 4: Simplify right side
   4,780x = 106,698,570.25
5. Step 5: Solve for x
   x = 106,698,570.25/4,780
6. Step 6: Final answer
   x = 22,321.88