Finding the Third Proportional to 29,886 and 65,042

Step by Step Solution

1. Step 1: Write the proportion equation
   29,886 : 65,042 = 65,042 : x
2. Step 2: Convert to fraction form
   29,886/65,042 = 65,042/x
3. Step 3: Cross multiply
   29,886x = 65,042 × 65,042
4. Step 4: Simplify right side
   29,886x = 4,230,461,764
5. Step 5: Solve for x
   x = 4,230,461,764/29,886
6. Step 6: Final answer
   x = 141,553.29