Finding the Third Proportional to 21,834 and 46,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,834 : 46,783.50 = 46,783.50 : x
2. Step 2: Convert to fraction form
   21,834/46,783.50 = 46,783.50/x
3. Step 3: Cross multiply
   21,834x = 46,783.50 × 46,783.50
4. Step 4: Simplify right side
   21,834x = 2,188,695,872.25
5. Step 5: Solve for x
   x = 2,188,695,872.25/21,834
6. Step 6: Final answer
   x = 100,242.55