Finding the Third Proportional to 31,980 and 74,693

Step by Step Solution

1. Step 1: Write the proportion equation
   31,980 : 74,693 = 74,693 : x
2. Step 2: Convert to fraction form
   31,980/74,693 = 74,693/x
3. Step 3: Cross multiply
   31,980x = 74,693 × 74,693
4. Step 4: Simplify right side
   31,980x = 5,579,044,249
5. Step 5: Solve for x
   x = 5,579,044,249/31,980
6. Step 6: Final answer
   x = 174,454.17