Finding the Third Proportional to 7,205 and 10,955.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,205 : 10,955.50 = 10,955.50 : x
2. Step 2: Convert to fraction form
   7,205/10,955.50 = 10,955.50/x
3. Step 3: Cross multiply
   7,205x = 10,955.50 × 10,955.50
4. Step 4: Simplify right side
   7,205x = 120,022,980.25
5. Step 5: Solve for x
   x = 120,022,980.25/7,205
6. Step 6: Final answer
   x = 16,658.29