Finding the Third Proportional to 20,214 and 32,290

Step by Step Solution

1. Step 1: Write the proportion equation
   20,214 : 32,290 = 32,290 : x
2. Step 2: Convert to fraction form
   20,214/32,290 = 32,290/x
3. Step 3: Cross multiply
   20,214x = 32,290 × 32,290
4. Step 4: Simplify right side
   20,214x = 1,042,644,100
5. Step 5: Solve for x
   x = 1,042,644,100/20,214
6. Step 6: Final answer
   x = 51,580.30