Finding the Third Proportional to 3,611.50 and 5,730.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,611.50 : 5,730.63 = 5,730.63 : x
2. Step 2: Convert to fraction form
   3,611.50/5,730.63 = 5,730.63/x
3. Step 3: Cross multiply
   3,611.50x = 5,730.63 × 5,730.63
4. Step 4: Simplify right side
   3,611.50x = 32,840,062.89
5. Step 5: Solve for x
   x = 32,840,062.89/3,611.50
6. Step 6: Final answer
   x = 9,093.19