Finding the Third Proportional to 20,584 and 31,164

Step by Step Solution

1. Step 1: Write the proportion equation
   20,584 : 31,164 = 31,164 : x
2. Step 2: Convert to fraction form
   20,584/31,164 = 31,164/x
3. Step 3: Cross multiply
   20,584x = 31,164 × 31,164
4. Step 4: Simplify right side
   20,584x = 971,194,896
5. Step 5: Solve for x
   x = 971,194,896/20,584
6. Step 6: Final answer
   x = 47,182.03