Finding the Third Proportional to 65,380 and 103,659

Step by Step Solution

1. Step 1: Write the proportion equation
   65,380 : 103,659 = 103,659 : x
2. Step 2: Convert to fraction form
   65,380/103,659 = 103,659/x
3. Step 3: Cross multiply
   65,380x = 103,659 × 103,659
4. Step 4: Simplify right side
   65,380x = 10,745,188,281
5. Step 5: Solve for x
   x = 10,745,188,281/65,380
6. Step 6: Final answer
   x = 164,349.77