Finding the Third Proportional to 34,676 and 75,076

Step by Step Solution

1. Step 1: Write the proportion equation
   34,676 : 75,076 = 75,076 : x
2. Step 2: Convert to fraction form
   34,676/75,076 = 75,076/x
3. Step 3: Cross multiply
   34,676x = 75,076 × 75,076
4. Step 4: Simplify right side
   34,676x = 5,636,405,776
5. Step 5: Solve for x
   x = 5,636,405,776/34,676
6. Step 6: Final answer
   x = 162,544.87