Finding the Third Proportional to 10,983 and 16,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,983 : 16,096.50 = 16,096.50 : x
2. Step 2: Convert to fraction form
   10,983/16,096.50 = 16,096.50/x
3. Step 3: Cross multiply
   10,983x = 16,096.50 × 16,096.50
4. Step 4: Simplify right side
   10,983x = 259,097,312.25
5. Step 5: Solve for x
   x = 259,097,312.25/10,983
6. Step 6: Final answer
   x = 23,590.76