Finding the Third Proportional to 10,877.50 and 14,568

Step by Step Solution

1. Step 1: Write the proportion equation
   10,877.50 : 14,568 = 14,568 : x
2. Step 2: Convert to fraction form
   10,877.50/14,568 = 14,568/x
3. Step 3: Cross multiply
   10,877.50x = 14,568 × 14,568
4. Step 4: Simplify right side
   10,877.50x = 212,226,624
5. Step 5: Solve for x
   x = 212,226,624/10,877.50
6. Step 6: Final answer
   x = 19,510.61