Finding the Third Proportional to 25,278 and 37,269

Step by Step Solution

1. Step 1: Write the proportion equation
   25,278 : 37,269 = 37,269 : x
2. Step 2: Convert to fraction form
   25,278/37,269 = 37,269/x
3. Step 3: Cross multiply
   25,278x = 37,269 × 37,269
4. Step 4: Simplify right side
   25,278x = 1,388,978,361
5. Step 5: Solve for x
   x = 1,388,978,361/25,278
6. Step 6: Final answer
   x = 54,948.11