Finding the Third Proportional to 31,846 and 74,372

Step by Step Solution

1. Step 1: Write the proportion equation
   31,846 : 74,372 = 74,372 : x
2. Step 2: Convert to fraction form
   31,846/74,372 = 74,372/x
3. Step 3: Cross multiply
   31,846x = 74,372 × 74,372
4. Step 4: Simplify right side
   31,846x = 5,531,194,384
5. Step 5: Solve for x
   x = 5,531,194,384/31,846
6. Step 6: Final answer
   x = 173,685.69