Finding the Third Proportional to 11,077 and 18,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,077 : 18,461.50 = 18,461.50 : x
2. Step 2: Convert to fraction form
   11,077/18,461.50 = 18,461.50/x
3. Step 3: Cross multiply
   11,077x = 18,461.50 × 18,461.50
4. Step 4: Simplify right side
   11,077x = 340,826,982.25
5. Step 5: Solve for x
   x = 340,826,982.25/11,077
6. Step 6: Final answer
   x = 30,768.89