Finding the Third Proportional to 31,943 and 67,196

Step by Step Solution

1. Step 1: Write the proportion equation
   31,943 : 67,196 = 67,196 : x
2. Step 2: Convert to fraction form
   31,943/67,196 = 67,196/x
3. Step 3: Cross multiply
   31,943x = 67,196 × 67,196
4. Step 4: Simplify right side
   31,943x = 4,515,302,416
5. Step 5: Solve for x
   x = 4,515,302,416/31,943
6. Step 6: Final answer
   x = 141,354.99