Finding the Third Proportional to 42,024 and 65,160

Step by Step Solution

1. Step 1: Write the proportion equation
   42,024 : 65,160 = 65,160 : x
2. Step 2: Convert to fraction form
   42,024/65,160 = 65,160/x
3. Step 3: Cross multiply
   42,024x = 65,160 × 65,160
4. Step 4: Simplify right side
   42,024x = 4,245,825,600
5. Step 5: Solve for x
   x = 4,245,825,600/42,024
6. Step 6: Final answer
   x = 101,033.35