Finding the Third Proportional to 11,532 and 12,556

Step by Step Solution

1. Step 1: Write the proportion equation
   11,532 : 12,556 = 12,556 : x
2. Step 2: Convert to fraction form
   11,532/12,556 = 12,556/x
3. Step 3: Cross multiply
   11,532x = 12,556 × 12,556
4. Step 4: Simplify right side
   11,532x = 157,653,136
5. Step 5: Solve for x
   x = 157,653,136/11,532
6. Step 6: Final answer
   x = 13,670.93