Finding the Third Proportional to 7,841.81 and 13,825.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,841.81 : 13,825.69 = 13,825.69 : x
2. Step 2: Convert to fraction form
   7,841.81/13,825.69 = 13,825.69/x
3. Step 3: Cross multiply
   7,841.81x = 13,825.69 × 13,825.69
4. Step 4: Simplify right side
   7,841.81x = 191,149,634.85
5. Step 5: Solve for x
   x = 191,149,634.85/7,841.81
6. Step 6: Final answer
   x = 24,375.70