Finding the Third Proportional to 22,096 and 34,488

Step by Step Solution

1. Step 1: Write the proportion equation
   22,096 : 34,488 = 34,488 : x
2. Step 2: Convert to fraction form
   22,096/34,488 = 34,488/x
3. Step 3: Cross multiply
   22,096x = 34,488 × 34,488
4. Step 4: Simplify right side
   22,096x = 1,189,422,144
5. Step 5: Solve for x
   x = 1,189,422,144/22,096
6. Step 6: Final answer
   x = 53,829.75