Finding the Third Proportional to 7,825.22 and 16,196.06

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.22 : 16,196.06 = 16,196.06 : x
2. Step 2: Convert to fraction form
   7,825.22/16,196.06 = 16,196.06/x
3. Step 3: Cross multiply
   7,825.22x = 16,196.06 × 16,196.06
4. Step 4: Simplify right side
   7,825.22x = 262,312,440.50
5. Step 5: Solve for x
   x = 262,312,440.50/7,825.22
6. Step 6: Final answer
   x = 33,521.42