Finding the Third Proportional to 22,385 and 31,378

Step by Step Solution

1. Step 1: Write the proportion equation
   22,385 : 31,378 = 31,378 : x
2. Step 2: Convert to fraction form
   22,385/31,378 = 31,378/x
3. Step 3: Cross multiply
   22,385x = 31,378 × 31,378
4. Step 4: Simplify right side
   22,385x = 984,578,884
5. Step 5: Solve for x
   x = 984,578,884/22,385
6. Step 6: Final answer
   x = 43,983.87