Finding the Third Proportional to 3,718.50 and 5,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,718.50 : 5,978.63 = 5,978.63 : x
2. Step 2: Convert to fraction form
   3,718.50/5,978.63 = 5,978.63/x
3. Step 3: Cross multiply
   3,718.50x = 5,978.63 × 5,978.63
4. Step 4: Simplify right side
   3,718.50x = 35,743,956.89
5. Step 5: Solve for x
   x = 35,743,956.89/3,718.50
6. Step 6: Final answer
   x = 9,612.47