Finding the Third Proportional to 42,040 and 86,024

Step by Step Solution

1. Step 1: Write the proportion equation
   42,040 : 86,024 = 86,024 : x
2. Step 2: Convert to fraction form
   42,040/86,024 = 86,024/x
3. Step 3: Cross multiply
   42,040x = 86,024 × 86,024
4. Step 4: Simplify right side
   42,040x = 7,400,128,576
5. Step 5: Solve for x
   x = 7,400,128,576/42,040
6. Step 6: Final answer
   x = 176,025.89