Finding the Third Proportional to 16,378 and 25,181

Step by Step Solution

1. Step 1: Write the proportion equation
   16,378 : 25,181 = 25,181 : x
2. Step 2: Convert to fraction form
   16,378/25,181 = 25,181/x
3. Step 3: Cross multiply
   16,378x = 25,181 × 25,181
4. Step 4: Simplify right side
   16,378x = 634,082,761
5. Step 5: Solve for x
   x = 634,082,761/16,378
6. Step 6: Final answer
   x = 38,715.52