Finding the Third Proportional to 11,882 and 16,611.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,882 : 16,611.50 = 16,611.50 : x
2. Step 2: Convert to fraction form
   11,882/16,611.50 = 16,611.50/x
3. Step 3: Cross multiply
   11,882x = 16,611.50 × 16,611.50
4. Step 4: Simplify right side
   11,882x = 275,941,932.25
5. Step 5: Solve for x
   x = 275,941,932.25/11,882
6. Step 6: Final answer
   x = 23,223.53