Finding the Third Proportional to 17,778 and 29,626.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778 : 29,626.50 = 29,626.50 : x
2. Step 2: Convert to fraction form
   17,778/29,626.50 = 29,626.50/x
3. Step 3: Cross multiply
   17,778x = 29,626.50 × 29,626.50
4. Step 4: Simplify right side
   17,778x = 877,729,502.25
5. Step 5: Solve for x
   x = 877,729,502.25/17,778
6. Step 6: Final answer
   x = 49,371.67