Finding the Third Proportional to 21,866 and 31,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,866 : 31,938.50 = 31,938.50 : x
2. Step 2: Convert to fraction form
   21,866/31,938.50 = 31,938.50/x
3. Step 3: Cross multiply
   21,866x = 31,938.50 × 31,938.50
4. Step 4: Simplify right side
   21,866x = 1,020,067,782.25
5. Step 5: Solve for x
   x = 1,020,067,782.25/21,866
6. Step 6: Final answer
   x = 46,650.86