Finding the Third Proportional to 7,709.63 and 16,513.88

Step by Step Solution

1. Step 1: Write the proportion equation
   7,709.63 : 16,513.88 = 16,513.88 : x
2. Step 2: Convert to fraction form
   7,709.63/16,513.88 = 16,513.88/x
3. Step 3: Cross multiply
   7,709.63x = 16,513.88 × 16,513.88
4. Step 4: Simplify right side
   7,709.63x = 272,708,067.52
5. Step 5: Solve for x
   x = 272,708,067.52/7,709.63
6. Step 6: Final answer
   x = 35,372.42