Finding the Third Proportional to 11,618 and 24,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,618 : 24,734.50 = 24,734.50 : x
2. Step 2: Convert to fraction form
   11,618/24,734.50 = 24,734.50/x
3. Step 3: Cross multiply
   11,618x = 24,734.50 × 24,734.50
4. Step 4: Simplify right side
   11,618x = 611,795,490.25
5. Step 5: Solve for x
   x = 611,795,490.25/11,618
6. Step 6: Final answer
   x = 52,659.28