Finding the Third Proportional to 31,982 and 74,702

Step by Step Solution

1. Step 1: Write the proportion equation
   31,982 : 74,702 = 74,702 : x
2. Step 2: Convert to fraction form
   31,982/74,702 = 74,702/x
3. Step 3: Cross multiply
   31,982x = 74,702 × 74,702
4. Step 4: Simplify right side
   31,982x = 5,580,388,804
5. Step 5: Solve for x
   x = 5,580,388,804/31,982
6. Step 6: Final answer
   x = 174,485.30