Finding the Third Proportional to 4,039.50 and 5,926.22

Step by Step Solution

1. Step 1: Write the proportion equation
   4,039.50 : 5,926.22 = 5,926.22 : x
2. Step 2: Convert to fraction form
   4,039.50/5,926.22 = 5,926.22/x
3. Step 3: Cross multiply
   4,039.50x = 5,926.22 × 5,926.22
4. Step 4: Simplify right side
   4,039.50x = 35,120,068.67
5. Step 5: Solve for x
   x = 35,120,068.67/4,039.50
6. Step 6: Final answer
   x = 8,694.16