Finding the Third Proportional to 21,186 and 31,729.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,186 : 31,729.50 = 31,729.50 : x
2. Step 2: Convert to fraction form
   21,186/31,729.50 = 31,729.50/x
3. Step 3: Cross multiply
   21,186x = 31,729.50 × 31,729.50
4. Step 4: Simplify right side
   21,186x = 1,006,761,170.25
5. Step 5: Solve for x
   x = 1,006,761,170.25/21,186
6. Step 6: Final answer
   x = 47,520.12