Finding the Third Proportional to 22,019 and 34,102

Step by Step Solution

1. Step 1: Write the proportion equation
   22,019 : 34,102 = 34,102 : x
2. Step 2: Convert to fraction form
   22,019/34,102 = 34,102/x
3. Step 3: Cross multiply
   22,019x = 34,102 × 34,102
4. Step 4: Simplify right side
   22,019x = 1,162,946,404
5. Step 5: Solve for x
   x = 1,162,946,404/22,019
6. Step 6: Final answer
   x = 52,815.59