Finding the Third Proportional to 8,146.50 and 17,776.13

Step by Step Solution

1. Step 1: Write the proportion equation
   8,146.50 : 17,776.13 = 17,776.13 : x
2. Step 2: Convert to fraction form
   8,146.50/17,776.13 = 17,776.13/x
3. Step 3: Cross multiply
   8,146.50x = 17,776.13 × 17,776.13
4. Step 4: Simplify right side
   8,146.50x = 315,990,620.02
5. Step 5: Solve for x
   x = 315,990,620.02/8,146.50
6. Step 6: Final answer
   x = 38,788.51