Finding the Third Proportional to 42,014 and 91,683

Step by Step Solution

1. Step 1: Write the proportion equation
   42,014 : 91,683 = 91,683 : x
2. Step 2: Convert to fraction form
   42,014/91,683 = 91,683/x
3. Step 3: Cross multiply
   42,014x = 91,683 × 91,683
4. Step 4: Simplify right side
   42,014x = 8,405,772,489
5. Step 5: Solve for x
   x = 8,405,772,489/42,014
6. Step 6: Final answer
   x = 200,070.75