Finding the Third Proportional to 8,066.50 and 17,726

Step by Step Solution

1. Step 1: Write the proportion equation
   8,066.50 : 17,726 = 17,726 : x
2. Step 2: Convert to fraction form
   8,066.50/17,726 = 17,726/x
3. Step 3: Cross multiply
   8,066.50x = 17,726 × 17,726
4. Step 4: Simplify right side
   8,066.50x = 314,211,076
5. Step 5: Solve for x
   x = 314,211,076/8,066.50
6. Step 6: Final answer
   x = 38,952.59