Finding the Third Proportional to 21,906 and 47,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,906 : 47,725.50 = 47,725.50 : x
2. Step 2: Convert to fraction form
   21,906/47,725.50 = 47,725.50/x
3. Step 3: Cross multiply
   21,906x = 47,725.50 × 47,725.50
4. Step 4: Simplify right side
   21,906x = 2,277,723,350.25
5. Step 5: Solve for x
   x = 2,277,723,350.25/21,906
6. Step 6: Final answer
   x = 103,977.15