Finding the Third Proportional to 8,178 and 10,791

Step by Step Solution

1. Step 1: Write the proportion equation
   8,178 : 10,791 = 10,791 : x
2. Step 2: Convert to fraction form
   8,178/10,791 = 10,791/x
3. Step 3: Cross multiply
   8,178x = 10,791 × 10,791
4. Step 4: Simplify right side
   8,178x = 116,445,681
5. Step 5: Solve for x
   x = 116,445,681/8,178
6. Step 6: Final answer
   x = 14,238.89