Finding the Third Proportional to 12,864 and 28,191

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 28,191 = 28,191 : x
2. Step 2: Convert to fraction form
   12,864/28,191 = 28,191/x
3. Step 3: Cross multiply
   12,864x = 28,191 × 28,191
4. Step 4: Simplify right side
   12,864x = 794,732,481
5. Step 5: Solve for x
   x = 794,732,481/12,864
6. Step 6: Final answer
   x = 61,779.58