Finding the Third Proportional to 7,825.63 and 16,978.19

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.63 : 16,978.19 = 16,978.19 : x
2. Step 2: Convert to fraction form
   7,825.63/16,978.19 = 16,978.19/x
3. Step 3: Cross multiply
   7,825.63x = 16,978.19 × 16,978.19
4. Step 4: Simplify right side
   7,825.63x = 288,258,850.79
5. Step 5: Solve for x
   x = 288,258,850.79/7,825.63
6. Step 6: Final answer
   x = 36,835.25