Finding the Third Proportional to 25,261 and 37,399

Step by Step Solution

1. Step 1: Write the proportion equation
   25,261 : 37,399 = 37,399 : x
2. Step 2: Convert to fraction form
   25,261/37,399 = 37,399/x
3. Step 3: Cross multiply
   25,261x = 37,399 × 37,399
4. Step 4: Simplify right side
   25,261x = 1,398,685,201
5. Step 5: Solve for x
   x = 1,398,685,201/25,261
6. Step 6: Final answer
   x = 55,369.35