Finding the Third Proportional to 7,825.50 and 16,977.94

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.50 : 16,977.94 = 16,977.94 : x
2. Step 2: Convert to fraction form
   7,825.50/16,977.94 = 16,977.94/x
3. Step 3: Cross multiply
   7,825.50x = 16,977.94 × 16,977.94
4. Step 4: Simplify right side
   7,825.50x = 288,250,361.75
5. Step 5: Solve for x
   x = 288,250,361.75/7,825.50
6. Step 6: Final answer
   x = 36,834.75