Finding the Third Proportional to 7,338 and 14,308.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,338 : 14,308.50 = 14,308.50 : x
2. Step 2: Convert to fraction form
   7,338/14,308.50 = 14,308.50/x
3. Step 3: Cross multiply
   7,338x = 14,308.50 × 14,308.50
4. Step 4: Simplify right side
   7,338x = 204,733,172.25
5. Step 5: Solve for x
   x = 204,733,172.25/7,338
6. Step 6: Final answer
   x = 27,900.41