Finding the Third Proportional to 21,738 and 31,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 31,780.50 = 31,780.50 : x
2. Step 2: Convert to fraction form
   21,738/31,780.50 = 31,780.50/x
3. Step 3: Cross multiply
   21,738x = 31,780.50 × 31,780.50
4. Step 4: Simplify right side
   21,738x = 1,010,000,180.25
5. Step 5: Solve for x
   x = 1,010,000,180.25/21,738
6. Step 6: Final answer
   x = 46,462.42