Finding the Third Proportional to 6,993 and 16,105.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,993 : 16,105.50 = 16,105.50 : x
2. Step 2: Convert to fraction form
   6,993/16,105.50 = 16,105.50/x
3. Step 3: Cross multiply
   6,993x = 16,105.50 × 16,105.50
4. Step 4: Simplify right side
   6,993x = 259,387,130.25
5. Step 5: Solve for x
   x = 259,387,130.25/6,993
6. Step 6: Final answer
   x = 37,092.40