Finding the Third Proportional to 16,854 and 39,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,854 : 39,772.50 = 39,772.50 : x
2. Step 2: Convert to fraction form
   16,854/39,772.50 = 39,772.50/x
3. Step 3: Cross multiply
   16,854x = 39,772.50 × 39,772.50
4. Step 4: Simplify right side
   16,854x = 1,581,851,756.25
5. Step 5: Solve for x
   x = 1,581,851,756.25/16,854
6. Step 6: Final answer
   x = 93,856.16