Finding the Third Proportional to 7,005 and 13,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005 : 13,321.50 = 13,321.50 : x
2. Step 2: Convert to fraction form
   7,005/13,321.50 = 13,321.50/x
3. Step 3: Cross multiply
   7,005x = 13,321.50 × 13,321.50
4. Step 4: Simplify right side
   7,005x = 177,462,362.25
5. Step 5: Solve for x
   x = 177,462,362.25/7,005
6. Step 6: Final answer
   x = 25,333.67