Finding the Third Proportional to 17,675 and 38,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,675 : 38,459.50 = 38,459.50 : x
2. Step 2: Convert to fraction form
   17,675/38,459.50 = 38,459.50/x
3. Step 3: Cross multiply
   17,675x = 38,459.50 × 38,459.50
4. Step 4: Simplify right side
   17,675x = 1,479,133,140.25
5. Step 5: Solve for x
   x = 1,479,133,140.25/17,675
6. Step 6: Final answer
   x = 83,685.04