Finding the Third Proportional to 31,174 and 43,849

Step by Step Solution

1. Step 1: Write the proportion equation
   31,174 : 43,849 = 43,849 : x
2. Step 2: Convert to fraction form
   31,174/43,849 = 43,849/x
3. Step 3: Cross multiply
   31,174x = 43,849 × 43,849
4. Step 4: Simplify right side
   31,174x = 1,922,734,801
5. Step 5: Solve for x
   x = 1,922,734,801/31,174
6. Step 6: Final answer
   x = 61,677.51