Finding the Third Proportional to 31,005 and 67,158

Step by Step Solution

1. Step 1: Write the proportion equation
   31,005 : 67,158 = 67,158 : x
2. Step 2: Convert to fraction form
   31,005/67,158 = 67,158/x
3. Step 3: Cross multiply
   31,005x = 67,158 × 67,158
4. Step 4: Simplify right side
   31,005x = 4,510,196,964
5. Step 5: Solve for x
   x = 4,510,196,964/31,005
6. Step 6: Final answer
   x = 145,466.76