Finding the Third Proportional to 21,777.75 and 31,826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   21,777.75 : 31,826.25 = 31,826.25 : x
2. Step 2: Convert to fraction form
   21,777.75/31,826.25 = 31,826.25/x
3. Step 3: Cross multiply
   21,777.75x = 31,826.25 × 31,826.25
4. Step 4: Simplify right side
   21,777.75x = 1,012,910,189.06
5. Step 5: Solve for x
   x = 1,012,910,189.06/21,777.75
6. Step 6: Final answer
   x = 46,511.24