Finding the Third Proportional to 31,636 and 67,174

Step by Step Solution

1. Step 1: Write the proportion equation
   31,636 : 67,174 = 67,174 : x
2. Step 2: Convert to fraction form
   31,636/67,174 = 67,174/x
3. Step 3: Cross multiply
   31,636x = 67,174 × 67,174
4. Step 4: Simplify right side
   31,636x = 4,512,346,276
5. Step 5: Solve for x
   x = 4,512,346,276/31,636
6. Step 6: Final answer
   x = 142,633.27