Finding the Third Proportional to 25,256 and 37,395.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,256 : 37,395.50 = 37,395.50 : x
2. Step 2: Convert to fraction form
   25,256/37,395.50 = 37,395.50/x
3. Step 3: Cross multiply
   25,256x = 37,395.50 × 37,395.50
4. Step 4: Simplify right side
   25,256x = 1,398,423,420.25
5. Step 5: Solve for x
   x = 1,398,423,420.25/25,256
6. Step 6: Final answer
   x = 55,369.95