Finding the Third Proportional to 20,580 and 32,328

Step by Step Solution

1. Step 1: Write the proportion equation
   20,580 : 32,328 = 32,328 : x
2. Step 2: Convert to fraction form
   20,580/32,328 = 32,328/x
3. Step 3: Cross multiply
   20,580x = 32,328 × 32,328
4. Step 4: Simplify right side
   20,580x = 1,045,099,584
5. Step 5: Solve for x
   x = 1,045,099,584/20,580
6. Step 6: Final answer
   x = 50,782.29