Finding the Third Proportional to 31,848 and 74,370

Step by Step Solution

1. Step 1: Write the proportion equation
   31,848 : 74,370 = 74,370 : x
2. Step 2: Convert to fraction form
   31,848/74,370 = 74,370/x
3. Step 3: Cross multiply
   31,848x = 74,370 × 74,370
4. Step 4: Simplify right side
   31,848x = 5,530,896,900
5. Step 5: Solve for x
   x = 5,530,896,900/31,848
6. Step 6: Final answer
   x = 173,665.44