Finding the Third Proportional to 4,671.75 and 7,142.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,671.75 : 7,142.63 = 7,142.63 : x
2. Step 2: Convert to fraction form
   4,671.75/7,142.63 = 7,142.63/x
3. Step 3: Cross multiply
   4,671.75x = 7,142.63 × 7,142.63
4. Step 4: Simplify right side
   4,671.75x = 51,017,091.89
5. Step 5: Solve for x
   x = 51,017,091.89/4,671.75
6. Step 6: Final answer
   x = 10,920.34