Finding the Third Proportional to 7,286.63 and 15,634.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,286.63 : 15,634.69 = 15,634.69 : x
2. Step 2: Convert to fraction form
   7,286.63/15,634.69 = 15,634.69/x
3. Step 3: Cross multiply
   7,286.63x = 15,634.69 × 15,634.69
4. Step 4: Simplify right side
   7,286.63x = 244,443,453.22
5. Step 5: Solve for x
   x = 244,443,453.22/7,286.63
6. Step 6: Final answer
   x = 33,546.87