Finding the Third Proportional to 16,384 and 24,659

Step by Step Solution

1. Step 1: Write the proportion equation
   16,384 : 24,659 = 24,659 : x
2. Step 2: Convert to fraction form
   16,384/24,659 = 24,659/x
3. Step 3: Cross multiply
   16,384x = 24,659 × 24,659
4. Step 4: Simplify right side
   16,384x = 608,066,281
5. Step 5: Solve for x
   x = 608,066,281/16,384
6. Step 6: Final answer
   x = 37,113.42