Finding the Third Proportional to 11,167.50 and 14,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,167.50 : 14,766.75 = 14,766.75 : x
2. Step 2: Convert to fraction form
   11,167.50/14,766.75 = 14,766.75/x
3. Step 3: Cross multiply
   11,167.50x = 14,766.75 × 14,766.75
4. Step 4: Simplify right side
   11,167.50x = 218,056,905.56
5. Step 5: Solve for x
   x = 218,056,905.56/11,167.50
6. Step 6: Final answer
   x = 19,526.03