Finding the Third Proportional to 6,781.50 and 16,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,781.50 : 16,085.25 = 16,085.25 : x
2. Step 2: Convert to fraction form
   6,781.50/16,085.25 = 16,085.25/x
3. Step 3: Cross multiply
   6,781.50x = 16,085.25 × 16,085.25
4. Step 4: Simplify right side
   6,781.50x = 258,735,267.56
5. Step 5: Solve for x
   x = 258,735,267.56/6,781.50
6. Step 6: Final answer
   x = 38,153.10