Finding the Third Proportional to 31,876 and 70,042

Step by Step Solution

1. Step 1: Write the proportion equation
   31,876 : 70,042 = 70,042 : x
2. Step 2: Convert to fraction form
   31,876/70,042 = 70,042/x
3. Step 3: Cross multiply
   31,876x = 70,042 × 70,042
4. Step 4: Simplify right side
   31,876x = 4,905,881,764
5. Step 5: Solve for x
   x = 4,905,881,764/31,876
6. Step 6: Final answer
   x = 153,905.19