Finding the Third Proportional to 31,886 and 67,417

Step by Step Solution

1. Step 1: Write the proportion equation
   31,886 : 67,417 = 67,417 : x
2. Step 2: Convert to fraction form
   31,886/67,417 = 67,417/x
3. Step 3: Cross multiply
   31,886x = 67,417 × 67,417
4. Step 4: Simplify right side
   31,886x = 4,545,051,889
5. Step 5: Solve for x
   x = 4,545,051,889/31,886
6. Step 6: Final answer
   x = 142,540.67