Finding the Third Proportional to 11,778 and 18,475.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778 : 18,475.50 = 18,475.50 : x
2. Step 2: Convert to fraction form
   11,778/18,475.50 = 18,475.50/x
3. Step 3: Cross multiply
   11,778x = 18,475.50 × 18,475.50
4. Step 4: Simplify right side
   11,778x = 341,344,100.25
5. Step 5: Solve for x
   x = 341,344,100.25/11,778
6. Step 6: Final answer
   x = 28,981.50