Finding the Third Proportional to 3,965.50 and 5,902

Step by Step Solution

1. Step 1: Write the proportion equation
   3,965.50 : 5,902 = 5,902 : x
2. Step 2: Convert to fraction form
   3,965.50/5,902 = 5,902/x
3. Step 3: Cross multiply
   3,965.50x = 5,902 × 5,902
4. Step 4: Simplify right side
   3,965.50x = 34,833,604
5. Step 5: Solve for x
   x = 34,833,604/3,965.50
6. Step 6: Final answer
   x = 8,784.16