Finding the Third Proportional to 7,786 and 14,910.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786 : 14,910.50 = 14,910.50 : x
2. Step 2: Convert to fraction form
   7,786/14,910.50 = 14,910.50/x
3. Step 3: Cross multiply
   7,786x = 14,910.50 × 14,910.50
4. Step 4: Simplify right side
   7,786x = 222,323,010.25
5. Step 5: Solve for x
   x = 222,323,010.25/7,786
6. Step 6: Final answer
   x = 28,554.20