Finding the Third Proportional to 8,234.50 and 17,501

Step by Step Solution

1. Step 1: Write the proportion equation
   8,234.50 : 17,501 = 17,501 : x
2. Step 2: Convert to fraction form
   8,234.50/17,501 = 17,501/x
3. Step 3: Cross multiply
   8,234.50x = 17,501 × 17,501
4. Step 4: Simplify right side
   8,234.50x = 306,285,001
5. Step 5: Solve for x
   x = 306,285,001/8,234.50
6. Step 6: Final answer
   x = 37,195.34