Finding the Third Proportional to 34,108 and 74,406

Step by Step Solution

1. Step 1: Write the proportion equation
   34,108 : 74,406 = 74,406 : x
2. Step 2: Convert to fraction form
   34,108/74,406 = 74,406/x
3. Step 3: Cross multiply
   34,108x = 74,406 × 74,406
4. Step 4: Simplify right side
   34,108x = 5,536,252,836
5. Step 5: Solve for x
   x = 5,536,252,836/34,108
6. Step 6: Final answer
   x = 162,315.38