Finding the Third Proportional to 24,616.50 and 38,189.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,616.50 : 38,189.25 = 38,189.25 : x
2. Step 2: Convert to fraction form
   24,616.50/38,189.25 = 38,189.25/x
3. Step 3: Cross multiply
   24,616.50x = 38,189.25 × 38,189.25
4. Step 4: Simplify right side
   24,616.50x = 1,458,418,815.56
5. Step 5: Solve for x
   x = 1,458,418,815.56/24,616.50
6. Step 6: Final answer
   x = 59,245.58