Finding the Third Proportional to 8,194 and 17,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,194 : 17,775.50 = 17,775.50 : x
2. Step 2: Convert to fraction form
   8,194/17,775.50 = 17,775.50/x
3. Step 3: Cross multiply
   8,194x = 17,775.50 × 17,775.50
4. Step 4: Simplify right side
   8,194x = 315,968,400.25
5. Step 5: Solve for x
   x = 315,968,400.25/8,194
6. Step 6: Final answer
   x = 38,560.95