Finding the Third Proportional to 7,730 and 10,191

Step by Step Solution

1. Step 1: Write the proportion equation
   7,730 : 10,191 = 10,191 : x
2. Step 2: Convert to fraction form
   7,730/10,191 = 10,191/x
3. Step 3: Cross multiply
   7,730x = 10,191 × 10,191
4. Step 4: Simplify right side
   7,730x = 103,856,481
5. Step 5: Solve for x
   x = 103,856,481/7,730
6. Step 6: Final answer
   x = 13,435.51