Finding the Third Proportional to 21,779 and 31,827.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,779 : 31,827.50 = 31,827.50 : x
2. Step 2: Convert to fraction form
   21,779/31,827.50 = 31,827.50/x
3. Step 3: Cross multiply
   21,779x = 31,827.50 × 31,827.50
4. Step 4: Simplify right side
   21,779x = 1,012,989,756.25
5. Step 5: Solve for x
   x = 1,012,989,756.25/21,779
6. Step 6: Final answer
   x = 46,512.23