Finding the Third Proportional to 25,979 and 37,147

Step by Step Solution

1. Step 1: Write the proportion equation
   25,979 : 37,147 = 37,147 : x
2. Step 2: Convert to fraction form
   25,979/37,147 = 37,147/x
3. Step 3: Cross multiply
   25,979x = 37,147 × 37,147
4. Step 4: Simplify right side
   25,979x = 1,379,899,609
5. Step 5: Solve for x
   x = 1,379,899,609/25,979
6. Step 6: Final answer
   x = 53,115.96