Finding the Third Proportional to 25,365 and 37,074

Step by Step Solution

1. Step 1: Write the proportion equation
   25,365 : 37,074 = 37,074 : x
2. Step 2: Convert to fraction form
   25,365/37,074 = 37,074/x
3. Step 3: Cross multiply
   25,365x = 37,074 × 37,074
4. Step 4: Simplify right side
   25,365x = 1,374,481,476
5. Step 5: Solve for x
   x = 1,374,481,476/25,365
6. Step 6: Final answer
   x = 54,188.11