Finding the Third Proportional to 17,616.50 and 38,185

Step by Step Solution

1. Step 1: Write the proportion equation
   17,616.50 : 38,185 = 38,185 : x
2. Step 2: Convert to fraction form
   17,616.50/38,185 = 38,185/x
3. Step 3: Cross multiply
   17,616.50x = 38,185 × 38,185
4. Step 4: Simplify right side
   17,616.50x = 1,458,094,225
5. Step 5: Solve for x
   x = 1,458,094,225/17,616.50
6. Step 6: Final answer
   x = 82,768.67