Finding the Third Proportional to 10,430 and 23,191

Step by Step Solution

1. Step 1: Write the proportion equation
   10,430 : 23,191 = 23,191 : x
2. Step 2: Convert to fraction form
   10,430/23,191 = 23,191/x
3. Step 3: Cross multiply
   10,430x = 23,191 × 23,191
4. Step 4: Simplify right side
   10,430x = 537,822,481
5. Step 5: Solve for x
   x = 537,822,481/10,430
6. Step 6: Final answer
   x = 51,564.96