Finding the Third Proportional to 25,536 and 37,392

Step by Step Solution

1. Step 1: Write the proportion equation
   25,536 : 37,392 = 37,392 : x
2. Step 2: Convert to fraction form
   25,536/37,392 = 37,392/x
3. Step 3: Cross multiply
   25,536x = 37,392 × 37,392
4. Step 4: Simplify right side
   25,536x = 1,398,161,664
5. Step 5: Solve for x
   x = 1,398,161,664/25,536
6. Step 6: Final answer
   x = 54,752.57