Finding the Third Proportional to 65,402 and 103,631

Step by Step Solution

1. Step 1: Write the proportion equation
   65,402 : 103,631 = 103,631 : x
2. Step 2: Convert to fraction form
   65,402/103,631 = 103,631/x
3. Step 3: Cross multiply
   65,402x = 103,631 × 103,631
4. Step 4: Simplify right side
   65,402x = 10,739,384,161
5. Step 5: Solve for x
   x = 10,739,384,161/65,402
6. Step 6: Final answer
   x = 164,205.75