Finding the Third Proportional to 17,623 and 24,165.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,623 : 24,165.50 = 24,165.50 : x
2. Step 2: Convert to fraction form
   17,623/24,165.50 = 24,165.50/x
3. Step 3: Cross multiply
   17,623x = 24,165.50 × 24,165.50
4. Step 4: Simplify right side
   17,623x = 583,971,390.25
5. Step 5: Solve for x
   x = 583,971,390.25/17,623
6. Step 6: Final answer
   x = 33,136.89