Finding the Third Proportional to 3,898.13 and 5,941.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,898.13 : 5,941.69 = 5,941.69 : x
2. Step 2: Convert to fraction form
   3,898.13/5,941.69 = 5,941.69/x
3. Step 3: Cross multiply
   3,898.13x = 5,941.69 × 5,941.69
4. Step 4: Simplify right side
   3,898.13x = 35,303,650.35
5. Step 5: Solve for x
   x = 35,303,650.35/3,898.13
6. Step 6: Final answer
   x = 9,056.57