Finding the Third Proportional to 7,698 and 10,602

Step by Step Solution

1. Step 1: Write the proportion equation
   7,698 : 10,602 = 10,602 : x
2. Step 2: Convert to fraction form
   7,698/10,602 = 10,602/x
3. Step 3: Cross multiply
   7,698x = 10,602 × 10,602
4. Step 4: Simplify right side
   7,698x = 112,402,404
5. Step 5: Solve for x
   x = 112,402,404/7,698
6. Step 6: Final answer
   x = 14,601.51