Finding the Third Proportional to 34,138 and 73,964

Step by Step Solution

1. Step 1: Write the proportion equation
   34,138 : 73,964 = 73,964 : x
2. Step 2: Convert to fraction form
   34,138/73,964 = 73,964/x
3. Step 3: Cross multiply
   34,138x = 73,964 × 73,964
4. Step 4: Simplify right side
   34,138x = 5,470,673,296
5. Step 5: Solve for x
   x = 5,470,673,296/34,138
6. Step 6: Final answer
   x = 160,251.72