Finding the Third Proportional to 4,660.50 and 7,058.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,660.50 : 7,058.63 = 7,058.63 : x
2. Step 2: Convert to fraction form
   4,660.50/7,058.63 = 7,058.63/x
3. Step 3: Cross multiply
   4,660.50x = 7,058.63 × 7,058.63
4. Step 4: Simplify right side
   4,660.50x = 49,824,186.89
5. Step 5: Solve for x
   x = 49,824,186.89/4,660.50
6. Step 6: Final answer
   x = 10,690.74