Finding the Third Proportional to 13,977 and 20,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,977 : 20,389.50 = 20,389.50 : x
2. Step 2: Convert to fraction form
   13,977/20,389.50 = 20,389.50/x
3. Step 3: Cross multiply
   13,977x = 20,389.50 × 20,389.50
4. Step 4: Simplify right side
   13,977x = 415,731,710.25
5. Step 5: Solve for x
   x = 415,731,710.25/13,977
6. Step 6: Final answer
   x = 29,743.99