Finding the Third Proportional to 4,140 and 5,895.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,140 : 5,895.50 = 5,895.50 : x
2. Step 2: Convert to fraction form
   4,140/5,895.50 = 5,895.50/x
3. Step 3: Cross multiply
   4,140x = 5,895.50 × 5,895.50
4. Step 4: Simplify right side
   4,140x = 34,756,920.25
5. Step 5: Solve for x
   x = 34,756,920.25/4,140
6. Step 6: Final answer
   x = 8,395.39