Finding the Third Proportional to 10,402 and 23,749

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402 : 23,749 = 23,749 : x
2. Step 2: Convert to fraction form
   10,402/23,749 = 23,749/x
3. Step 3: Cross multiply
   10,402x = 23,749 × 23,749
4. Step 4: Simplify right side
   10,402x = 564,015,001
5. Step 5: Solve for x
   x = 564,015,001/10,402
6. Step 6: Final answer
   x = 54,221.78