Finding the Third Proportional to 20,424 and 32,580

Step by Step Solution

1. Step 1: Write the proportion equation
   20,424 : 32,580 = 32,580 : x
2. Step 2: Convert to fraction form
   20,424/32,580 = 32,580/x
3. Step 3: Cross multiply
   20,424x = 32,580 × 32,580
4. Step 4: Simplify right side
   20,424x = 1,061,456,400
5. Step 5: Solve for x
   x = 1,061,456,400/20,424
6. Step 6: Final answer
   x = 51,971.03