Finding the Third Proportional to 25,364 and 37,278

Step by Step Solution

1. Step 1: Write the proportion equation
   25,364 : 37,278 = 37,278 : x
2. Step 2: Convert to fraction form
   25,364/37,278 = 37,278/x
3. Step 3: Cross multiply
   25,364x = 37,278 × 37,278
4. Step 4: Simplify right side
   25,364x = 1,389,649,284
5. Step 5: Solve for x
   x = 1,389,649,284/25,364
6. Step 6: Final answer
   x = 54,788.25