Finding the Third Proportional to 25,188 and 37,014

Step by Step Solution

1. Step 1: Write the proportion equation
   25,188 : 37,014 = 37,014 : x
2. Step 2: Convert to fraction form
   25,188/37,014 = 37,014/x
3. Step 3: Cross multiply
   25,188x = 37,014 × 37,014
4. Step 4: Simplify right side
   25,188x = 1,370,036,196
5. Step 5: Solve for x
   x = 1,370,036,196/25,188
6. Step 6: Final answer
   x = 54,392.42