Finding the Third Proportional to 21,225 and 46,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,225 : 46,684.50 = 46,684.50 : x
2. Step 2: Convert to fraction form
   21,225/46,684.50 = 46,684.50/x
3. Step 3: Cross multiply
   21,225x = 46,684.50 × 46,684.50
4. Step 4: Simplify right side
   21,225x = 2,179,442,540.25
5. Step 5: Solve for x
   x = 2,179,442,540.25/21,225
6. Step 6: Final answer
   x = 102,682.81