Finding the Third Proportional to 4,114.50 and 7,662

Step by Step Solution

1. Step 1: Write the proportion equation
   4,114.50 : 7,662 = 7,662 : x
2. Step 2: Convert to fraction form
   4,114.50/7,662 = 7,662/x
3. Step 3: Cross multiply
   4,114.50x = 7,662 × 7,662
4. Step 4: Simplify right side
   4,114.50x = 58,706,244
5. Step 5: Solve for x
   x = 58,706,244/4,114.50
6. Step 6: Final answer
   x = 14,268.14