Finding the Third Proportional to 65,376 and 103,653

Step by Step Solution

1. Step 1: Write the proportion equation
   65,376 : 103,653 = 103,653 : x
2. Step 2: Convert to fraction form
   65,376/103,653 = 103,653/x
3. Step 3: Cross multiply
   65,376x = 103,653 × 103,653
4. Step 4: Simplify right side
   65,376x = 10,743,944,409
5. Step 5: Solve for x
   x = 10,743,944,409/65,376
6. Step 6: Final answer
   x = 164,340.80