Finding the Third Proportional to 8,178 and 17,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,178 : 17,665.50 = 17,665.50 : x
2. Step 2: Convert to fraction form
   8,178/17,665.50 = 17,665.50/x
3. Step 3: Cross multiply
   8,178x = 17,665.50 × 17,665.50
4. Step 4: Simplify right side
   8,178x = 312,069,890.25
5. Step 5: Solve for x
   x = 312,069,890.25/8,178
6. Step 6: Final answer
   x = 38,159.68