Finding the Third Proportional to 12,380 and 18,296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,380 : 18,296.50 = 18,296.50 : x
2. Step 2: Convert to fraction form
   12,380/18,296.50 = 18,296.50/x
3. Step 3: Cross multiply
   12,380x = 18,296.50 × 18,296.50
4. Step 4: Simplify right side
   12,380x = 334,761,912.25
5. Step 5: Solve for x
   x = 334,761,912.25/12,380
6. Step 6: Final answer
   x = 27,040.54