Finding the Third Proportional to 6,510 and 10,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,510 : 10,096.50 = 10,096.50 : x
2. Step 2: Convert to fraction form
   6,510/10,096.50 = 10,096.50/x
3. Step 3: Cross multiply
   6,510x = 10,096.50 × 10,096.50
4. Step 4: Simplify right side
   6,510x = 101,939,312.25
5. Step 5: Solve for x
   x = 101,939,312.25/6,510
6. Step 6: Final answer
   x = 15,658.88