Finding the Third Proportional to 21,746 and 46,709.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,746 : 46,709.50 = 46,709.50 : x
2. Step 2: Convert to fraction form
   21,746/46,709.50 = 46,709.50/x
3. Step 3: Cross multiply
   21,746x = 46,709.50 × 46,709.50
4. Step 4: Simplify right side
   21,746x = 2,181,777,390.25
5. Step 5: Solve for x
   x = 2,181,777,390.25/21,746
6. Step 6: Final answer
   x = 100,330.06