Finding the Third Proportional to 8,096.63 and 17,692.88

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.63 : 17,692.88 = 17,692.88 : x
2. Step 2: Convert to fraction form
   8,096.63/17,692.88 = 17,692.88/x
3. Step 3: Cross multiply
   8,096.63x = 17,692.88 × 17,692.88
4. Step 4: Simplify right side
   8,096.63x = 313,037,825.77
5. Step 5: Solve for x
   x = 313,037,825.77/8,096.63
6. Step 6: Final answer
   x = 38,662.75