Finding the Third Proportional to 3,863 and 5,902.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,863 : 5,902.50 = 5,902.50 : x
2. Step 2: Convert to fraction form
   3,863/5,902.50 = 5,902.50/x
3. Step 3: Cross multiply
   3,863x = 5,902.50 × 5,902.50
4. Step 4: Simplify right side
   3,863x = 34,839,506.25
5. Step 5: Solve for x
   x = 34,839,506.25/3,863
6. Step 6: Final answer
   x = 9,018.77