Finding the Third Proportional to 31,631 and 64,171

Step by Step Solution

1. Step 1: Write the proportion equation
   31,631 : 64,171 = 64,171 : x
2. Step 2: Convert to fraction form
   31,631/64,171 = 64,171/x
3. Step 3: Cross multiply
   31,631x = 64,171 × 64,171
4. Step 4: Simplify right side
   31,631x = 4,117,917,241
5. Step 5: Solve for x
   x = 4,117,917,241/31,631
6. Step 6: Final answer
   x = 130,186.12