Finding the Third Proportional to 25,270 and 37,414

Step by Step Solution

1. Step 1: Write the proportion equation
   25,270 : 37,414 = 37,414 : x
2. Step 2: Convert to fraction form
   25,270/37,414 = 37,414/x
3. Step 3: Cross multiply
   25,270x = 37,414 × 37,414
4. Step 4: Simplify right side
   25,270x = 1,399,807,396
5. Step 5: Solve for x
   x = 1,399,807,396/25,270
6. Step 6: Final answer
   x = 55,394.04