Finding the Third Proportional to 31,972 and 68,554

Step by Step Solution

1. Step 1: Write the proportion equation
   31,972 : 68,554 = 68,554 : x
2. Step 2: Convert to fraction form
   31,972/68,554 = 68,554/x
3. Step 3: Cross multiply
   31,972x = 68,554 × 68,554
4. Step 4: Simplify right side
   31,972x = 4,699,650,916
5. Step 5: Solve for x
   x = 4,699,650,916/31,972
6. Step 6: Final answer
   x = 146,992.71