Finding the Third Proportional to 9,791.50 and 21,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,791.50 : 21,111.75 = 21,111.75 : x
2. Step 2: Convert to fraction form
   9,791.50/21,111.75 = 21,111.75/x
3. Step 3: Cross multiply
   9,791.50x = 21,111.75 × 21,111.75
4. Step 4: Simplify right side
   9,791.50x = 445,705,988.06
5. Step 5: Solve for x
   x = 445,705,988.06/9,791.50
6. Step 6: Final answer
   x = 45,519.68