Finding the Third Proportional to 21,826 and 46,784

Step by Step Solution

1. Step 1: Write the proportion equation
   21,826 : 46,784 = 46,784 : x
2. Step 2: Convert to fraction form
   21,826/46,784 = 46,784/x
3. Step 3: Cross multiply
   21,826x = 46,784 × 46,784
4. Step 4: Simplify right side
   21,826x = 2,188,742,656
5. Step 5: Solve for x
   x = 2,188,742,656/21,826
6. Step 6: Final answer
   x = 100,281.44