Finding the Third Proportional to 12,289.50 and 15,977.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,289.50 : 15,977.25 = 15,977.25 : x
2. Step 2: Convert to fraction form
   12,289.50/15,977.25 = 15,977.25/x
3. Step 3: Cross multiply
   12,289.50x = 15,977.25 × 15,977.25
4. Step 4: Simplify right side
   12,289.50x = 255,272,517.56
5. Step 5: Solve for x
   x = 255,272,517.56/12,289.50
6. Step 6: Final answer
   x = 20,771.60