Finding the Third Proportional to 13,176 and 17,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,176 : 17,749.50 = 17,749.50 : x
2. Step 2: Convert to fraction form
   13,176/17,749.50 = 17,749.50/x
3. Step 3: Cross multiply
   13,176x = 17,749.50 × 17,749.50
4. Step 4: Simplify right side
   13,176x = 315,044,750.25
5. Step 5: Solve for x
   x = 315,044,750.25/13,176
6. Step 6: Final answer
   x = 23,910.50