Finding the Third Proportional to 8,202 and 17,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,202 : 17,980.50 = 17,980.50 : x
2. Step 2: Convert to fraction form
   8,202/17,980.50 = 17,980.50/x
3. Step 3: Cross multiply
   8,202x = 17,980.50 × 17,980.50
4. Step 4: Simplify right side
   8,202x = 323,298,380.25
5. Step 5: Solve for x
   x = 323,298,380.25/8,202
6. Step 6: Final answer
   x = 39,417.02