Finding the Third Proportional to 7,891.75 and 17,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,891.75 : 17,423.50 = 17,423.50 : x
2. Step 2: Convert to fraction form
   7,891.75/17,423.50 = 17,423.50/x
3. Step 3: Cross multiply
   7,891.75x = 17,423.50 × 17,423.50
4. Step 4: Simplify right side
   7,891.75x = 303,578,352.25
5. Step 5: Solve for x
   x = 303,578,352.25/7,891.75
6. Step 6: Final answer
   x = 38,467.81