Finding the Third Proportional to 16,906.50 and 24,374.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,906.50 : 24,374.25 = 24,374.25 : x
2. Step 2: Convert to fraction form
   16,906.50/24,374.25 = 24,374.25/x
3. Step 3: Cross multiply
   16,906.50x = 24,374.25 × 24,374.25
4. Step 4: Simplify right side
   16,906.50x = 594,104,063.06
5. Step 5: Solve for x
   x = 594,104,063.06/16,906.50
6. Step 6: Final answer
   x = 35,140.57