Finding the Third Proportional to 12,749.50 and 18,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,749.50 : 18,362.50 = 18,362.50 : x
2. Step 2: Convert to fraction form
   12,749.50/18,362.50 = 18,362.50/x
3. Step 3: Cross multiply
   12,749.50x = 18,362.50 × 18,362.50
4. Step 4: Simplify right side
   12,749.50x = 337,181,406.25
5. Step 5: Solve for x
   x = 337,181,406.25/12,749.50
6. Step 6: Final answer
   x = 26,446.64