Finding the Third Proportional to 22,378 and 34,215

Step by Step Solution

1. Step 1: Write the proportion equation
   22,378 : 34,215 = 34,215 : x
2. Step 2: Convert to fraction form
   22,378/34,215 = 34,215/x
3. Step 3: Cross multiply
   22,378x = 34,215 × 34,215
4. Step 4: Simplify right side
   22,378x = 1,170,666,225
5. Step 5: Solve for x
   x = 1,170,666,225/22,378
6. Step 6: Final answer
   x = 52,313.26