Finding the Third Proportional to 21,932 and 31,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,932 : 31,743.50 = 31,743.50 : x
2. Step 2: Convert to fraction form
   21,932/31,743.50 = 31,743.50/x
3. Step 3: Cross multiply
   21,932x = 31,743.50 × 31,743.50
4. Step 4: Simplify right side
   21,932x = 1,007,649,792.25
5. Step 5: Solve for x
   x = 1,007,649,792.25/21,932
6. Step 6: Final answer
   x = 45,944.27