Finding the Third Proportional to 20,584 and 42,783

Step by Step Solution

1. Step 1: Write the proportion equation
   20,584 : 42,783 = 42,783 : x
2. Step 2: Convert to fraction form
   20,584/42,783 = 42,783/x
3. Step 3: Cross multiply
   20,584x = 42,783 × 42,783
4. Step 4: Simplify right side
   20,584x = 1,830,385,089
5. Step 5: Solve for x
   x = 1,830,385,089/20,584
6. Step 6: Final answer
   x = 88,922.71