Finding the Third Proportional to 7,740.56 and 16,965.07

Step by Step Solution

1. Step 1: Write the proportion equation
   7,740.56 : 16,965.07 = 16,965.07 : x
2. Step 2: Convert to fraction form
   7,740.56/16,965.07 = 16,965.07/x
3. Step 3: Cross multiply
   7,740.56x = 16,965.07 × 16,965.07
4. Step 4: Simplify right side
   7,740.56x = 287,813,610.71
5. Step 5: Solve for x
   x = 287,813,610.71/7,740.56
6. Step 6: Final answer
   x = 37,182.52