Finding the Third Proportional to 25,314 and 37,149

Step by Step Solution

1. Step 1: Write the proportion equation
   25,314 : 37,149 = 37,149 : x
2. Step 2: Convert to fraction form
   25,314/37,149 = 37,149/x
3. Step 3: Cross multiply
   25,314x = 37,149 × 37,149
4. Step 4: Simplify right side
   25,314x = 1,380,048,201
5. Step 5: Solve for x
   x = 1,380,048,201/25,314
6. Step 6: Final answer
   x = 54,517.19