Finding the Third Proportional to 21,936 and 34,191

Step by Step Solution

1. Step 1: Write the proportion equation
   21,936 : 34,191 = 34,191 : x
2. Step 2: Convert to fraction form
   21,936/34,191 = 34,191/x
3. Step 3: Cross multiply
   21,936x = 34,191 × 34,191
4. Step 4: Simplify right side
   21,936x = 1,169,024,481
5. Step 5: Solve for x
   x = 1,169,024,481/21,936
6. Step 6: Final answer
   x = 53,292.51