Finding the Third Proportional to 9,777 and 13,930.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777 : 13,930.50 = 13,930.50 : x
2. Step 2: Convert to fraction form
   9,777/13,930.50 = 13,930.50/x
3. Step 3: Cross multiply
   9,777x = 13,930.50 × 13,930.50
4. Step 4: Simplify right side
   9,777x = 194,058,830.25
5. Step 5: Solve for x
   x = 194,058,830.25/9,777
6. Step 6: Final answer
   x = 19,848.50