Finding the Third Proportional to 7,661.25 and 16,267.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,661.25 : 16,267.50 = 16,267.50 : x
2. Step 2: Convert to fraction form
   7,661.25/16,267.50 = 16,267.50/x
3. Step 3: Cross multiply
   7,661.25x = 16,267.50 × 16,267.50
4. Step 4: Simplify right side
   7,661.25x = 264,631,556.25
5. Step 5: Solve for x
   x = 264,631,556.25/7,661.25
6. Step 6: Final answer
   x = 34,541.56