Finding the Third Proportional to 4,029.75 and 8,510.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,029.75 : 8,510.63 = 8,510.63 : x
2. Step 2: Convert to fraction form
   4,029.75/8,510.63 = 8,510.63/x
3. Step 3: Cross multiply
   4,029.75x = 8,510.63 × 8,510.63
4. Step 4: Simplify right side
   4,029.75x = 72,430,737.89
5. Step 5: Solve for x
   x = 72,430,737.89/4,029.75
6. Step 6: Final answer
   x = 17,974.00