Finding the Third Proportional to 10,006 and 23,191

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 23,191 = 23,191 : x
2. Step 2: Convert to fraction form
   10,006/23,191 = 23,191/x
3. Step 3: Cross multiply
   10,006x = 23,191 × 23,191
4. Step 4: Simplify right side
   10,006x = 537,822,481
5. Step 5: Solve for x
   x = 537,822,481/10,006
6. Step 6: Final answer
   x = 53,750.00