Finding the Third Proportional to 25,974 and 37,142

Step by Step Solution

1. Step 1: Write the proportion equation
   25,974 : 37,142 = 37,142 : x
2. Step 2: Convert to fraction form
   25,974/37,142 = 37,142/x
3. Step 3: Cross multiply
   25,974x = 37,142 × 37,142
4. Step 4: Simplify right side
   25,974x = 1,379,528,164
5. Step 5: Solve for x
   x = 1,379,528,164/25,974
6. Step 6: Final answer
   x = 53,111.89