Finding the Third Proportional to 17,623.50 and 24,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623.50 : 24,166.50 = 24,166.50 : x
2. Step 2: Convert to fraction form
   17,623.50/24,166.50 = 24,166.50/x
3. Step 3: Cross multiply
   17,623.50x = 24,166.50 × 24,166.50
4. Step 4: Simplify right side
   17,623.50x = 584,019,722.25
5. Step 5: Solve for x
   x = 584,019,722.25/17,623.50
6. Step 6: Final answer
   x = 33,138.69