Finding the Third Proportional to 42,820 and 65,240

Step by Step Solution

1. Step 1: Write the proportion equation
   42,820 : 65,240 = 65,240 : x
2. Step 2: Convert to fraction form
   42,820/65,240 = 65,240/x
3. Step 3: Cross multiply
   42,820x = 65,240 × 65,240
4. Step 4: Simplify right side
   42,820x = 4,256,257,600
5. Step 5: Solve for x
   x = 4,256,257,600/42,820
6. Step 6: Final answer
   x = 99,398.82