Finding the Third Proportional to 25,977 and 37,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,977 : 37,144.50 = 37,144.50 : x
2. Step 2: Convert to fraction form
   25,977/37,144.50 = 37,144.50/x
3. Step 3: Cross multiply
   25,977x = 37,144.50 × 37,144.50
4. Step 4: Simplify right side
   25,977x = 1,379,713,880.25
5. Step 5: Solve for x
   x = 1,379,713,880.25/25,977
6. Step 6: Final answer
   x = 53,112.90