Finding the Third Proportional to 42,380 and 65,659

Step by Step Solution

1. Step 1: Write the proportion equation
   42,380 : 65,659 = 65,659 : x
2. Step 2: Convert to fraction form
   42,380/65,659 = 65,659/x
3. Step 3: Cross multiply
   42,380x = 65,659 × 65,659
4. Step 4: Simplify right side
   42,380x = 4,311,104,281
5. Step 5: Solve for x
   x = 4,311,104,281/42,380
6. Step 6: Final answer
   x = 101,724.97