Finding the Third Proportional to 8,122.50 and 17,796.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,122.50 : 17,796.38 = 17,796.38 : x
2. Step 2: Convert to fraction form
   8,122.50/17,796.38 = 17,796.38/x
3. Step 3: Cross multiply
   8,122.50x = 17,796.38 × 17,796.38
4. Step 4: Simplify right side
   8,122.50x = 316,710,963.14
5. Step 5: Solve for x
   x = 316,710,963.14/8,122.50
6. Step 6: Final answer
   x = 38,991.81