Finding the Third Proportional to 16,586 and 24,392.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,586 : 24,392.50 = 24,392.50 : x
2. Step 2: Convert to fraction form
   16,586/24,392.50 = 24,392.50/x
3. Step 3: Cross multiply
   16,586x = 24,392.50 × 24,392.50
4. Step 4: Simplify right side
   16,586x = 594,994,056.25
5. Step 5: Solve for x
   x = 594,994,056.25/16,586
6. Step 6: Final answer
   x = 35,873.27