Finding the Third Proportional to 22,378 and 34,422

Step by Step Solution

1. Step 1: Write the proportion equation
   22,378 : 34,422 = 34,422 : x
2. Step 2: Convert to fraction form
   22,378/34,422 = 34,422/x
3. Step 3: Cross multiply
   22,378x = 34,422 × 34,422
4. Step 4: Simplify right side
   22,378x = 1,184,874,084
5. Step 5: Solve for x
   x = 1,184,874,084/22,378
6. Step 6: Final answer
   x = 52,948.17