Finding the Third Proportional to 16,378 and 24,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,378 : 24,649.50 = 24,649.50 : x
2. Step 2: Convert to fraction form
   16,378/24,649.50 = 24,649.50/x
3. Step 3: Cross multiply
   16,378x = 24,649.50 × 24,649.50
4. Step 4: Simplify right side
   16,378x = 607,597,850.25
5. Step 5: Solve for x
   x = 607,597,850.25/16,378
6. Step 6: Final answer
   x = 37,098.42