Finding the Third Proportional to 7,291.69 and 11,461.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,291.69 : 11,461.50 = 11,461.50 : x
2. Step 2: Convert to fraction form
   7,291.69/11,461.50 = 11,461.50/x
3. Step 3: Cross multiply
   7,291.69x = 11,461.50 × 11,461.50
4. Step 4: Simplify right side
   7,291.69x = 131,365,982.25
5. Step 5: Solve for x
   x = 131,365,982.25/7,291.69
6. Step 6: Final answer
   x = 18,015.85