Finding the Third Proportional to 6,076 and 9,116

Step by Step Solution

1. Step 1: Write the proportion equation
   6,076 : 9,116 = 9,116 : x
2. Step 2: Convert to fraction form
   6,076/9,116 = 9,116/x
3. Step 3: Cross multiply
   6,076x = 9,116 × 9,116
4. Step 4: Simplify right side
   6,076x = 83,101,456
5. Step 5: Solve for x
   x = 83,101,456/6,076
6. Step 6: Final answer
   x = 13,677.00