Finding the Third Proportional to 20,139 and 41,229

Step by Step Solution

1. Step 1: Write the proportion equation
   20,139 : 41,229 = 41,229 : x
2. Step 2: Convert to fraction form
   20,139/41,229 = 41,229/x
3. Step 3: Cross multiply
   20,139x = 41,229 × 41,229
4. Step 4: Simplify right side
   20,139x = 1,699,830,441
5. Step 5: Solve for x
   x = 1,699,830,441/20,139
6. Step 6: Final answer
   x = 84,404.91