Finding the Third Proportional to 10,938.50 and 16,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,938.50 : 16,404.50 = 16,404.50 : x
2. Step 2: Convert to fraction form
   10,938.50/16,404.50 = 16,404.50/x
3. Step 3: Cross multiply
   10,938.50x = 16,404.50 × 16,404.50
4. Step 4: Simplify right side
   10,938.50x = 269,107,620.25
5. Step 5: Solve for x
   x = 269,107,620.25/10,938.50
6. Step 6: Final answer
   x = 24,601.88