Finding the Third Proportional to 10,001 and 23,154

Step by Step Solution

1. Step 1: Write the proportion equation
   10,001 : 23,154 = 23,154 : x
2. Step 2: Convert to fraction form
   10,001/23,154 = 23,154/x
3. Step 3: Cross multiply
   10,001x = 23,154 × 23,154
4. Step 4: Simplify right side
   10,001x = 536,107,716
5. Step 5: Solve for x
   x = 536,107,716/10,001
6. Step 6: Final answer
   x = 53,605.41