Finding the Third Proportional to 10,245 and 13,669.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,245 : 13,669.50 = 13,669.50 : x
2. Step 2: Convert to fraction form
   10,245/13,669.50 = 13,669.50/x
3. Step 3: Cross multiply
   10,245x = 13,669.50 × 13,669.50
4. Step 4: Simplify right side
   10,245x = 186,855,230.25
5. Step 5: Solve for x
   x = 186,855,230.25/10,245
6. Step 6: Final answer
   x = 18,238.68