Finding the Third Proportional to 7,678.31 and 16,176.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678.31 : 16,176.56 = 16,176.56 : x
2. Step 2: Convert to fraction form
   7,678.31/16,176.56 = 16,176.56/x
3. Step 3: Cross multiply
   7,678.31x = 16,176.56 × 16,176.56
4. Step 4: Simplify right side
   7,678.31x = 261,681,174.32
5. Step 5: Solve for x
   x = 261,681,174.32/7,678.31
6. Step 6: Final answer
   x = 34,080.56