Finding the Third Proportional to 10,245 and 14,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,245 : 14,509.50 = 14,509.50 : x
2. Step 2: Convert to fraction form
   10,245/14,509.50 = 14,509.50/x
3. Step 3: Cross multiply
   10,245x = 14,509.50 × 14,509.50
4. Step 4: Simplify right side
   10,245x = 210,525,590.25
5. Step 5: Solve for x
   x = 210,525,590.25/10,245
6. Step 6: Final answer
   x = 20,549.11