Finding the Third Proportional to 16,384 and 25,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384 : 25,053.50 = 25,053.50 : x
2. Step 2: Convert to fraction form
   16,384/25,053.50 = 25,053.50/x
3. Step 3: Cross multiply
   16,384x = 25,053.50 × 25,053.50
4. Step 4: Simplify right side
   16,384x = 627,677,862.25
5. Step 5: Solve for x
   x = 627,677,862.25/16,384
6. Step 6: Final answer
   x = 38,310.42