Finding the Third Proportional to 65,380 and 101,418

Step by Step Solution

1. Step 1: Write the proportion equation
   65,380 : 101,418 = 101,418 : x
2. Step 2: Convert to fraction form
   65,380/101,418 = 101,418/x
3. Step 3: Cross multiply
   65,380x = 101,418 × 101,418
4. Step 4: Simplify right side
   65,380x = 10,285,610,724
5. Step 5: Solve for x
   x = 10,285,610,724/65,380
6. Step 6: Final answer
   x = 157,320.45