Finding the Third Proportional to 10,402 and 19,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402 : 19,766 = 19,766 : x
2. Step 2: Convert to fraction form
   10,402/19,766 = 19,766/x
3. Step 3: Cross multiply
   10,402x = 19,766 × 19,766
4. Step 4: Simplify right side
   10,402x = 390,694,756
5. Step 5: Solve for x
   x = 390,694,756/10,402
6. Step 6: Final answer
   x = 37,559.58