Finding the Third Proportional to 8,096.63 and 17,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.63 : 17,158.50 = 17,158.50 : x
2. Step 2: Convert to fraction form
   8,096.63/17,158.50 = 17,158.50/x
3. Step 3: Cross multiply
   8,096.63x = 17,158.50 × 17,158.50
4. Step 4: Simplify right side
   8,096.63x = 294,414,122.25
5. Step 5: Solve for x
   x = 294,414,122.25/8,096.63
6. Step 6: Final answer
   x = 36,362.57