Finding the Third Proportional to 25,514 and 37,077

Step by Step Solution

1. Step 1: Write the proportion equation
   25,514 : 37,077 = 37,077 : x
2. Step 2: Convert to fraction form
   25,514/37,077 = 37,077/x
3. Step 3: Cross multiply
   25,514x = 37,077 × 37,077
4. Step 4: Simplify right side
   25,514x = 1,374,703,929
5. Step 5: Solve for x
   x = 1,374,703,929/25,514
6. Step 6: Final answer
   x = 53,880.38