Finding the Third Proportional to 15,546 and 24,388.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,546 : 24,388.50 = 24,388.50 : x
2. Step 2: Convert to fraction form
   15,546/24,388.50 = 24,388.50/x
3. Step 3: Cross multiply
   15,546x = 24,388.50 × 24,388.50
4. Step 4: Simplify right side
   15,546x = 594,798,932.25
5. Step 5: Solve for x
   x = 594,798,932.25/15,546
6. Step 6: Final answer
   x = 38,260.58