Finding the Third Proportional to 24,144 and 37,309.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,144 : 37,309.50 = 37,309.50 : x
2. Step 2: Convert to fraction form
   24,144/37,309.50 = 37,309.50/x
3. Step 3: Cross multiply
   24,144x = 37,309.50 × 37,309.50
4. Step 4: Simplify right side
   24,144x = 1,391,998,790.25
5. Step 5: Solve for x
   x = 1,391,998,790.25/24,144
6. Step 6: Final answer
   x = 57,654.03