Finding the Third Proportional to 11,181 and 14,575.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,181 : 14,575.50 = 14,575.50 : x
2. Step 2: Convert to fraction form
   11,181/14,575.50 = 14,575.50/x
3. Step 3: Cross multiply
   11,181x = 14,575.50 × 14,575.50
4. Step 4: Simplify right side
   11,181x = 212,445,200.25
5. Step 5: Solve for x
   x = 212,445,200.25/11,181
6. Step 6: Final answer
   x = 19,000.55