Finding the Third Proportional to 16,077 and 25,573.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,077 : 25,573.50 = 25,573.50 : x
2. Step 2: Convert to fraction form
   16,077/25,573.50 = 25,573.50/x
3. Step 3: Cross multiply
   16,077x = 25,573.50 × 25,573.50
4. Step 4: Simplify right side
   16,077x = 654,003,902.25
5. Step 5: Solve for x
   x = 654,003,902.25/16,077
6. Step 6: Final answer
   x = 40,679.47