Finding the Third Proportional to 7,688.67 and 16,761.30

Step by Step Solution

1. Step 1: Write the proportion equation
   7,688.67 : 16,761.30 = 16,761.30 : x
2. Step 2: Convert to fraction form
   7,688.67/16,761.30 = 16,761.30/x
3. Step 3: Cross multiply
   7,688.67x = 16,761.30 × 16,761.30
4. Step 4: Simplify right side
   7,688.67x = 280,941,334.83
5. Step 5: Solve for x
   x = 280,941,334.83/7,688.67
6. Step 6: Final answer
   x = 36,539.64