Finding the Third Proportional to 10,684 and 12,532

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 12,532 = 12,532 : x
2. Step 2: Convert to fraction form
   10,684/12,532 = 12,532/x
3. Step 3: Cross multiply
   10,684x = 12,532 × 12,532
4. Step 4: Simplify right side
   10,684x = 157,051,024
5. Step 5: Solve for x
   x = 157,051,024/10,684
6. Step 6: Final answer
   x = 14,699.65