Finding the Third Proportional to 9,792.56 and 13,883.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792.56 : 13,883.06 = 13,883.06 : x
2. Step 2: Convert to fraction form
   9,792.56/13,883.06 = 13,883.06/x
3. Step 3: Cross multiply
   9,792.56x = 13,883.06 × 13,883.06
4. Step 4: Simplify right side
   9,792.56x = 192,739,424.38
5. Step 5: Solve for x
   x = 192,739,424.38/9,792.56
6. Step 6: Final answer
   x = 19,682.23