Finding the Third Proportional to 34,096 and 74,106

Step by Step Solution

1. Step 1: Write the proportion equation
   34,096 : 74,106 = 74,106 : x
2. Step 2: Convert to fraction form
   34,096/74,106 = 74,106/x
3. Step 3: Cross multiply
   34,096x = 74,106 × 74,106
4. Step 4: Simplify right side
   34,096x = 5,491,699,236
5. Step 5: Solve for x
   x = 5,491,699,236/34,096
6. Step 6: Final answer
   x = 161,065.79