Finding the Third Proportional to 42,671 and 59,683

Step by Step Solution

1. Step 1: Write the proportion equation
   42,671 : 59,683 = 59,683 : x
2. Step 2: Convert to fraction form
   42,671/59,683 = 59,683/x
3. Step 3: Cross multiply
   42,671x = 59,683 × 59,683
4. Step 4: Simplify right side
   42,671x = 3,562,060,489
5. Step 5: Solve for x
   x = 3,562,060,489/42,671
6. Step 6: Final answer
   x = 83,477.31