Finding the Third Proportional to 14,778 and 21,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,778 : 21,616.50 = 21,616.50 : x
2. Step 2: Convert to fraction form
   14,778/21,616.50 = 21,616.50/x
3. Step 3: Cross multiply
   14,778x = 21,616.50 × 21,616.50
4. Step 4: Simplify right side
   14,778x = 467,273,072.25
5. Step 5: Solve for x
   x = 467,273,072.25/14,778
6. Step 6: Final answer
   x = 31,619.51