Finding the Third Proportional to 17,638.50 and 24,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638.50 : 24,187.50 = 24,187.50 : x
2. Step 2: Convert to fraction form
   17,638.50/24,187.50 = 24,187.50/x
3. Step 3: Cross multiply
   17,638.50x = 24,187.50 × 24,187.50
4. Step 4: Simplify right side
   17,638.50x = 585,035,156.25
5. Step 5: Solve for x
   x = 585,035,156.25/17,638.50
6. Step 6: Final answer
   x = 33,168.08