Finding the Third Proportional to 4,300.50 and 6,510.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,300.50 : 6,510.75 = 6,510.75 : x
2. Step 2: Convert to fraction form
   4,300.50/6,510.75 = 6,510.75/x
3. Step 3: Cross multiply
   4,300.50x = 6,510.75 × 6,510.75
4. Step 4: Simplify right side
   4,300.50x = 42,389,865.56
5. Step 5: Solve for x
   x = 42,389,865.56/4,300.50
6. Step 6: Final answer
   x = 9,856.96