Finding the Third Proportional to 8,145 and 17,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,145 : 17,626.50 = 17,626.50 : x
2. Step 2: Convert to fraction form
   8,145/17,626.50 = 17,626.50/x
3. Step 3: Cross multiply
   8,145x = 17,626.50 × 17,626.50
4. Step 4: Simplify right side
   8,145x = 310,693,502.25
5. Step 5: Solve for x
   x = 310,693,502.25/8,145
6. Step 6: Final answer
   x = 38,145.30