Finding the Third Proportional to 25,400 and 37,137

Step by Step Solution

1. Step 1: Write the proportion equation
   25,400 : 37,137 = 37,137 : x
2. Step 2: Convert to fraction form
   25,400/37,137 = 37,137/x
3. Step 3: Cross multiply
   25,400x = 37,137 × 37,137
4. Step 4: Simplify right side
   25,400x = 1,379,156,769
5. Step 5: Solve for x
   x = 1,379,156,769/25,400
6. Step 6: Final answer
   x = 54,297.51