Finding the Third Proportional to 7,386.50 and 16,208.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,386.50 : 16,208.50 = 16,208.50 : x
2. Step 2: Convert to fraction form
   7,386.50/16,208.50 = 16,208.50/x
3. Step 3: Cross multiply
   7,386.50x = 16,208.50 × 16,208.50
4. Step 4: Simplify right side
   7,386.50x = 262,715,472.25
5. Step 5: Solve for x
   x = 262,715,472.25/7,386.50
6. Step 6: Final answer
   x = 35,566.98