Finding the Third Proportional to 17,724 and 27,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,724 : 27,423.50 = 27,423.50 : x
2. Step 2: Convert to fraction form
   17,724/27,423.50 = 27,423.50/x
3. Step 3: Cross multiply
   17,724x = 27,423.50 × 27,423.50
4. Step 4: Simplify right side
   17,724x = 752,048,352.25
5. Step 5: Solve for x
   x = 752,048,352.25/17,724
6. Step 6: Final answer
   x = 42,431.07