Finding the Third Proportional to 8,176 and 17,647.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,176 : 17,647.50 = 17,647.50 : x
2. Step 2: Convert to fraction form
   8,176/17,647.50 = 17,647.50/x
3. Step 3: Cross multiply
   8,176x = 17,647.50 × 17,647.50
4. Step 4: Simplify right side
   8,176x = 311,434,256.25
5. Step 5: Solve for x
   x = 311,434,256.25/8,176
6. Step 6: Final answer
   x = 38,091.27