Finding the Third Proportional to 31,377 and 67,326

Step by Step Solution

1. Step 1: Write the proportion equation
   31,377 : 67,326 = 67,326 : x
2. Step 2: Convert to fraction form
   31,377/67,326 = 67,326/x
3. Step 3: Cross multiply
   31,377x = 67,326 × 67,326
4. Step 4: Simplify right side
   31,377x = 4,532,790,276
5. Step 5: Solve for x
   x = 4,532,790,276/31,377
6. Step 6: Final answer
   x = 144,462.19