Finding the Third Proportional to 21,189 and 31,421.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,189 : 31,421.50 = 31,421.50 : x
2. Step 2: Convert to fraction form
   21,189/31,421.50 = 31,421.50/x
3. Step 3: Cross multiply
   21,189x = 31,421.50 × 31,421.50
4. Step 4: Simplify right side
   21,189x = 987,310,662.25
5. Step 5: Solve for x
   x = 987,310,662.25/21,189
6. Step 6: Final answer
   x = 46,595.43