Finding the Third Proportional to 6,116 and 7,662

Step by Step Solution

1. Step 1: Write the proportion equation
   6,116 : 7,662 = 7,662 : x
2. Step 2: Convert to fraction form
   6,116/7,662 = 7,662/x
3. Step 3: Cross multiply
   6,116x = 7,662 × 7,662
4. Step 4: Simplify right side
   6,116x = 58,706,244
5. Step 5: Solve for x
   x = 58,706,244/6,116
6. Step 6: Final answer
   x = 9,598.80