Finding the Third Proportional to 16,582.50 and 24,908.63

Step by Step Solution

1. Step 1: Write the proportion equation
   16,582.50 : 24,908.63 = 24,908.63 : x
2. Step 2: Convert to fraction form
   16,582.50/24,908.63 = 24,908.63/x
3. Step 3: Cross multiply
   16,582.50x = 24,908.63 × 24,908.63
4. Step 4: Simplify right side
   16,582.50x = 620,439,599.39
5. Step 5: Solve for x
   x = 620,439,599.39/16,582.50
6. Step 6: Final answer
   x = 37,415.32