Finding the Third Proportional to 22,178 and 34,383

Step by Step Solution

1. Step 1: Write the proportion equation
   22,178 : 34,383 = 34,383 : x
2. Step 2: Convert to fraction form
   22,178/34,383 = 34,383/x
3. Step 3: Cross multiply
   22,178x = 34,383 × 34,383
4. Step 4: Simplify right side
   22,178x = 1,182,190,689
5. Step 5: Solve for x
   x = 1,182,190,689/22,178
6. Step 6: Final answer
   x = 53,304.66