Finding the Third Proportional to 11,079 and 14,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,079 : 14,566.50 = 14,566.50 : x
2. Step 2: Convert to fraction form
   11,079/14,566.50 = 14,566.50/x
3. Step 3: Cross multiply
   11,079x = 14,566.50 × 14,566.50
4. Step 4: Simplify right side
   11,079x = 212,182,922.25
5. Step 5: Solve for x
   x = 212,182,922.25/11,079
6. Step 6: Final answer
   x = 19,151.81