Finding the Third Proportional to 8,216 and 17,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,216 : 17,663.50 = 17,663.50 : x
2. Step 2: Convert to fraction form
   8,216/17,663.50 = 17,663.50/x
3. Step 3: Cross multiply
   8,216x = 17,663.50 × 17,663.50
4. Step 4: Simplify right side
   8,216x = 311,999,232.25
5. Step 5: Solve for x
   x = 311,999,232.25/8,216
6. Step 6: Final answer
   x = 37,974.59