Finding the Third Proportional to 31,940 and 67,191

Step by Step Solution

1. Step 1: Write the proportion equation
   31,940 : 67,191 = 67,191 : x
2. Step 2: Convert to fraction form
   31,940/67,191 = 67,191/x
3. Step 3: Cross multiply
   31,940x = 67,191 × 67,191
4. Step 4: Simplify right side
   31,940x = 4,514,630,481
5. Step 5: Solve for x
   x = 4,514,630,481/31,940
6. Step 6: Final answer
   x = 141,347.23